# stacks/stacks-project

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 %%%%%%%%%%%%%%%%%%%%%% A %%%%%%%%%%%%%%%%%%%%%% @INCOLLECTION{Abbes-ssr, AUTHOR = {Abbes, Ahmed}, TITLE = {R\'eduction semi-stable des courbes d'apr\es {A}rtin, {D}eligne, {G}rothendieck, {M}umford, {S}aito, {W}inters, {$\ldots$}}, BOOKTITLE = {Courbes semi-stables et groupe fondamental en g\'eom\'etrie alg\'ebrique ({L}uminy, 1998)}, SERIES = {Progr. Math.}, VOLUME = {187}, PAGES = {59--110}, PUBLISHER = {Birkh\"auser, Basel}, YEAR = {2000}, } @BOOK{Abbes, AUTHOR = {Abbes, Ahmed}, TITLE = {\'{E}l\'ements de g\'eom\'etrie rigide. {V}olume {I}}, SERIES = {Progress in Mathematics}, VOLUME = {286}, PUBLISHER = {Birkh\"auser/Springer Basel AG, Basel}, YEAR = {2010}, PAGES = {xvi+477}, } @ARTICLE{abramovich-vistoli, AUTHOR = {Abramovich, Dan and Vistoli, Angelo}, TITLE = {Compactifying the space of stable maps}, SHORTJOURNAL = {J. Amer. Math. Soc.}, JOURNAL = {Journal of the American Mathematical Society}, VOLUME = {15}, YEAR = {2002}, NUMBER = {1}, PAGES = {27--75}, EPRINT = {math/9908167}, EPRINTTYPE = {arXiv}, } @ARTICLE{acv, AUTHOR = {Abramovich, Dan and Corti, Alessio and Vistoli, Angelo}, TITLE = {Twisted bundles and admissible covers}, NOTE = {Special issue in honor of Steven L. Kleiman}, SHORTJOURNAL = {Comm. Algebra}, JOURNAL = {Communications in Algebra}, VOLUME = {31}, YEAR = {2003}, NUMBER = {8}, PAGES = {3547--3618}, EPRINT = {math/0106211}, EPRINTTYPE = {arXiv}, } @ARTICLE{agv, AUTHOR = {Abramovich, Dan and Graber, Tom and Vistoli, Angelo}, TITLE = {Gromov-{W}itten theory of {D}eligne-{M}umford stacks}, SHORTJOURNAL = {Amer. J. Math.}, JOURNAL = {American Journal of Mathematics}, VOLUME = {130}, YEAR = {2008}, NUMBER = {5}, PAGES = {1337--1398}, EPRINT = {math/0603151}, EPRINTTYPE = {arXiv}, } @ARTICLE{tame, AUTHOR = {Abramovich, Dan and Olsson, Martin Christian and Vistoli, Angelo}, TITLE = {Tame stacks in positive characteristic}, SHORTJOURNAL = {Ann. Inst. Fourier}, JOURNAL = {Annales de l'Institut Fourier}, VOLUME = {58}, YEAR = {2008}, NUMBER = {4}, PAGES = {1057--1091}, EPRINT = {math/0703310}, EPRINTTYPE = {arXiv}, } @INCOLLECTION{Alexeev96, AUTHOR = {Alexeev, Valery}, TITLE = {Moduli spaces $M_{g,n}(W)$ for surfaces}, BOOKTITLE = {Higher dimensional complex varieties ({T}rento, 1994)}, PAGES = {1--22}, PUBLISHER = {de {G}ruyter}, YEAR = {1996}, EPRINT = {alg-geom/9410003}, EPRINTTYPE = {arXiv}, } @ARTICLE{alexeev-knutson, AUTHOR = {Alexeev, Valery and Knutson, Allen}, TITLE = {Complete moduli spaces of branchvarieties}, SHORTJOURNAL = {J. reine angew. Math}, JOURNAL = {Journal f\"ur die reine und angewandte Mathematik}, VOLUME = {639}, YEAR = {2010}, EPRINT = {math/0602626}, EPRINTTYPE = {arXiv}, } @ARTICLE{AKFano, AUTHOR = {Altman, Allen and Kleiman, Steven}, TITLE = {Foundations of the theory of {F}ano schemes}, SHORTJOURNAL = {Compositio Math.}, JOURNAL = {Compositio Mathematica}, YEAR = {1977}, VOLUME = {34}, NUMBER = {1}, PAGES = {3--47}, } @MISC{alper_good, AUTHOR = {Alper, Jarod}, TITLE = {Good moduli spaces for {A}rtin stacks}, YEAR = {2008}, EPRINT = {0804.2242}, EPRINTTYPE = {arXiv}, } @ARTICLE{Alper-adequate, AUTHOR = {Alper, Jarod}, TITLE = {Adequate moduli spaces and geometrically reductive group schemes}, JOURNAL = {Algebr. Geom.}, VOLUME = {1}, YEAR = {2014}, NUMBER = {4}, PAGES = {489--531}, URL = {http://dx.doi.org/10.14231/AG-2014-022}, } @ARTICLE{alper_quotient, AUTHOR = {Alper, Jarod}, TITLE = {On the local quotient structure of {A}rtin stacks}, SHORTJOURNAL = {J. Pure Appl. Algebra}, JOURNAL = {Journal of Pure and Applied Algebra}, YEAR = {2010}, VOLUME = {214}, NUMBER = {9}, PAGES = {1576--1591}, EPRINT = {0904.2050}, EPRINTTYPE = {arXiv}, } @BOOK{Andre, AUTHOR = {Andr{\'e}, Michel}, TITLE = {M\'ethode simpliciale en alg\ebre homologique et alg\ebre commutative}, SERIES = {Lecture Notes in Mathematics, Vol. 32}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1967}, PAGES = {iii+122}, } @BOOK{Andre-Homologie, AUTHOR = {Andr{\'e}, Michel}, TITLE = {Homologie des alg\ebres commutatives}, NOTE = {Die Grundlehren der mathematischen Wissenschaften, Band 206}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1974}, PAGES = {xv+341}, } @ARTICLE{AokiHomStacks, AUTHOR = {Aoki, Masao}, TITLE = {Hom stacks}, JOURNAL = {Manuscripta Math.}, VOLUME = {119}, YEAR = {2006}, NUMBER = {1}, PAGES = {37--56}, URL = {http://dx.doi.org/10.1007/s00229-005-0602-1}, } @ARTICLE{AokiHomStacksErr, AUTHOR = {Aoki, Masao}, TITLE = {Erratum: {H}om stacks'' [{M}anuscripta {M}ath. {\bf 119} (2006), no. 1, 37--56; MR2194377]}, JOURNAL = {Manuscripta Math.}, VOLUME = {121}, YEAR = {2006}, NUMBER = {1}, PAGES = {135}, URL = {http://dx.doi.org/10.1007/s00229-006-0029-3}, } @ARTICLE{Arabia, AUTHOR = {Arabia, Alberto}, TITLE = {Rel\evements des alg\ebres lisses et de leurs morphismes}, SHORTJOURNAL = {Comment. Math. Helv.}, JOURNAL = {Commentarii Mathematici Helvetici}, VOLUME = {76}, YEAR = {2001}, NUMBER = {4}, PAGES = {607--639}, } @BOOK{ACGH, AUTHOR = {Arbarello, Enrico and Cornalba, Maurizio and Griffiths, Philip Augustus and Harris, Joseph Daniel}, TITLE = {Geometry of Algebraic Curves: Volume {I}}, PUBLISHER = {Springer-Verlag}, YEAR = {1985}, SERIES = {Grundlehren der mathematischen {W}issenschaften}, NUMBER = {267}, } % AUTHOR for Griffiths only the second initial is given, give full name nevertheless?, likewise for Harris only his *first* initial is given, which is inconsistent with the rest @BOOK{ANT, AUTHOR = {Artin, Emil and Nesbitt, Cecil James and Thrall, Robert McDowell}, TITLE = {Rings with {M}inimum {C}ondition}, SERIES = {University of Michigan Publications in Mathematics}, PUBLISHER = {University of Michigan Press}, YEAR = {1944}, NUMBER = {1}, PAGES = {x+123}, } @ARTICLE{Etale-coverings, AUTHOR = {Artin, Michael}, TITLE = {Etale coverings of schemes over Hensel rings}, SHORTJOURNAL = {Amer. J. Math.}, JOURNAL = {American Journal of Mathematics}, VOLUME = {88}, NUMBER = {4}, YEAR = {1966}, PAGES = {915--934}, } @BOOK{ArtinTopologies, AUTHOR = {Artin, Michael}, TITLE = {Grothendieck topologies: notes on a seminar}, PAGES = {1--134}, PUBLISHER = {Harvard University, Dept. of Mathematics}, YEAR = {1962}, } % TITLE use this title? it seems the most popular one % PAGES check whether there are any frontmatter pages @INCOLLECTION{ArtinI, AUTHOR = {Artin, Michael}, TITLE = {Algebraization of formal moduli: I}, BOOKTITLE = {Global Analysis (Papers in Honor of K. Kodaira)}, PAGES = {21--71}, PUBLISHER = {Univ. Tokyo Press}, ADDRESS = {Tokyo}, YEAR = {1969}, } @ARTICLE{ArtinII, AUTHOR = {Artin, Michael}, TITLE = {Algebraization of formal moduli: {II} -- Existence of modifications}, JOURNAL = {Annals of Mathematics}, VOLUME = {91}, PAGES = {88--135}, YEAR = {1970} } @ARTICLE{ArtinVersal, AUTHOR = {Artin, Michael}, TITLE = {Versal deformations and algebraic stacks}, JOURNAL = {Inventiones Mathematics}, YEAR = {1974}, VOLUME = {27}, PAGES = {165-189}, } @BOOK{Artin-Theorem-Representability, AUTHOR = {Artin, Michael}, TITLE = {Th\'eor\emes de repr\'esentabilit\'e pour les espaces alg\'ebriques}, NOTE = {En collaboration avec Alexandru Lascu et Jean-Fran{\c{c}}ois Boutot, S{\'e}minaire de Math{\'e}matiques Sup{\'e}rieures, No. 44 ({\'E}t{\'e}, 1970)}, PUBLISHER = {Les Presses de l'Universit\'e de Montr\'eal, Montreal, Que.}, YEAR = {1973}, PAGES = {282}, } @INCOLLECTION{Artin-Construction-Techniques, AUTHOR = {Artin, Michael}, TITLE = {Construction techniques for algebraic spaces}, BOOKTITLE = {Actes du {C}ongr\es {I}nternational des {M}ath\'ematiciens ({N}ice, 1970), {T}ome 1}, PAGES = {419--423}, PUBLISHER = {Gauthier-Villars}, ADDRESS = {Paris}, YEAR = {1971}, } @BOOK{Artin-Algebraic-Spaces, AUTHOR = {Artin, Michael}, TITLE = {Algebraic spaces}, NOTE = {A James K. Whittemore Lecture in Mathematics given at Yale University, 1969, Yale Mathematical Monographs, 3}, PUBLISHER = {Yale University Press}, ADDRESS = {New Haven, Conn.}, YEAR = {1971}, PAGES = {vii+39}, } @ARTICLE{Artin-Analytic-Approximation, AUTHOR = {Artin, Michael}, TITLE = {On the solutions of analytic equations}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {5}, YEAR = {1968}, PAGES = {277--291}, } @INCOLLECTION{Artin-Implicit-Function, AUTHOR = {Artin, Michael}, TITLE = {The implicit function theorem in algebraic geometry}, BOOKTITLE = {Algebraic {G}eometry ({I}nternat. {C}olloq., {T}ata {I}nst. {F}und. {R}es., {B}ombay, 1968)}, PAGES = {13--34}, PUBLISHER = {Oxford Univ. Press}, ADDRESS = {London}, YEAR = {1969}, } @ARTICLE{Artin-Algebraic-Approximation, AUTHOR = {Artin, Michael}, TITLE = {Algebraic approximation of structures over complete local rings}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques}, NUMBER = {36}, YEAR = {1969}, PAGES = {23--58}, } @INCOLLECTION{Artin-power-series, AUTHOR = {Artin, Michael}, TITLE = {Algebraic structure of power series rings}, BOOKTITLE = {Algebraists' homage: papers in ring theory and related topics ({N}ew {H}aven, {C}onn., 1981)}, SERIES = {Contemp. Math.}, VOLUME = {13}, PAGES = {223--227}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, R.I.}, YEAR = {1982}, } @INCOLLECTION{Artin-Denef, AUTHOR = {Artin, Michael and Denef, Jan}, TITLE = {Smoothing of a ring homomorphism along a section}, BOOKTITLE = {Arithmetic and geometry, {V}ol. {II}}, SERIES = {Progr. Math.}, VOLUME = {36}, PAGES = {5--31}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Mass.}, YEAR = {1983}, } @BOOK{ArtinMazur, AUTHOR = {Artin, Michael and Mazur, Barry}, TITLE = {Etale homotopy}, SERIES = {Lecture Notes in Mathematics, No. 100}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1969}, PAGES = {iii+169}, } @INCOLLECTION{Artin-Lipman, AUTHOR = {Artin, Michael}, TITLE = {Lipman's proof of resolution of singularities for surfaces}, BOOKTITLE = {Arithmetic geometry ({S}torrs, {C}onn., 1984)}, PAGES = {267--287}, PUBLISHER = {Springer, New York}, YEAR = {1986}, } @ARTICLE{Artin-Winters, AUTHOR = {Artin, M. and Winters, G.}, TITLE = {Degenerate fibres and stable reduction of curves}, JOURNAL = {Topology}, VOLUME = {10}, YEAR = {1971}, PAGES = {373--383}, } @BOOK{SGA3, AUTHOR = {Artin, Michael and Bertin, Jean-Etienne and Demazure, Michel and Grothendieck, Alexander and Gabriel, Pierre and Raynaud, Michel and Serre, Jean-Pierre}, TITLE = {Sch\'emas en groupes}, SERIES = {S\'eminaire de G\'eom\'etrie Alg\'ebrique de l'Institut des Hautes \'Etudes Scientifiques}, PUBLISHER = {Institut des Hautes \'Etudes Scientifiques}, ADDRESS = {Paris}, YEAR = {1963/1966}, } % decide whether we want to cite the LNM or the original mimeographed notes % there should be an EDITOR field? @BOOK{SGA4, AUTHOR = {Artin, Michael and Grothendieck, Alexander and Verdier, Jean-Louis}, TITLE = {Theorie de Topos et Cohomologie Etale des Schemas {I}, {II}, {III}}, PUBLISHER = {Springer}, YEAR = {1971}, SERIES = {Lecture Notes in Mathematics}, VOLUME = {269, 270, 305}, } @ARTICLE{Auslander, AUTHOR = {Auslander, Maurice}, TITLE = {On the dimension of modules and algebras. {III}. {G}lobal dimension}, JOURNAL = {Nagoya Math. J.}, FJOURNAL = {Nagoya Mathematical Journal}, VOLUME = {9}, YEAR = {1955}, PAGES = {67--77}, } @ARTICLE{Auslander-Buchsbaum, AUTHOR = {Auslander, Maurice and Buchsbaum, David A.}, TITLE = {Homological dimension in local rings}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {85}, YEAR = {1957}, PAGES = {390--405}, } @ARTICLE{Avramov, AUTHOR = {Avramov, Luchezar L.}, TITLE = {Flat morphisms of complete intersections}, JOURNAL = {Dokl. Akad. Nauk SSSR}, FJOURNAL = {Doklady Akademii Nauk SSSR}, VOLUME = {225}, YEAR = {1975}, NUMBER = {1}, PAGES = {11--14}, } % AUTHOR field: I couldn't find his second name %%%%%%%%%%%%%%%%%%%%%% B %%%%%%%%%%%%%%%%%%%%%% @INPROCEEDINGS{Barlet, AUTHOR = {Barlet, Daniel}, TITLE = {Espace analytique r\'eduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie}, BOOKTITLE = {S\'eminaire Norguet}, PUBLISHER = {Springer-Verlag}, YEAR = {1975}, SERIES = {Lecture Notes in Mathematics}, VOLUME = {482}, PAGES = {1--158}, } % I changed the TITLE field to what seems to be the correct title % this is not an inproceedings but it's published as a chapter in a book, fix this @ARTICLE{BVdV, AUTHOR = {Barth, Wolf and {Van de Ven}, Antonius}, TITLE = {{F}ano-varieties of lines on hypersurfaces}, JOURNAL = {Arch. Math.}, VOLUME = {31}, YEAR = {1978}, PAGES = {96-104}, } @ARTICLE{Bass, AUTHOR = {Bass, Hyman}, TITLE = {Big projective modules are free}, JOURNAL = {Illinois J. Math.}, FJOURNAL = {Illinois Journal of Mathematics}, VOLUME = {7}, YEAR = {1963}, PAGES = {24--31}, } @ARTICLE{BD, AUTHOR = {Beauville, Arnaud and Donagi, Ron}, TITLE = {La vari\'et\'e des droites d'une hypersurface cubique de dimension 4}, JOURNAL = {C.R. Acad. Sc. Paris, S\'erie I}, YEAR = {1985}, VOLUME = {301}, PAGES = {703--706}, } @ARTICLE{Beauville-Laszlo, AUTHOR = {Beauville, Arnaud and Laszlo, Yves}, TITLE = {Un lemme de descente}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.}, VOLUME = {320}, YEAR = {1995}, NUMBER = {3}, PAGES = {335--340}, } @ARTICLE{Beddani, AUTHOR = {Beddani, Charef}, TITLE = {Note on the completion of a local domain with geometrically normal formal fibers}, JOURNAL = {C. R. Math. Acad. Sci. Paris}, VOLUME = {351}, YEAR = {2013}, NUMBER = {5-6}, PAGES = {173--175}, URL = {http://dx.doi.org/10.1016/j.crma.2013.03.00}, } @UNPUBLISHED{Beheshti, AUTHOR = {Beheshti, Roya}, TITLE = {Lines on {F}ano hypersurfaces}, YEAR = {2003}, NOTE = {MIT PhD thesis}, } @ARTICLE{noohi, AUTHOR = {Noohi, Behrang}, TITLE = {Foundations of Topological Stacks {I}}, JOURNAL = {math.AG/0503247v1}, YEAR = {2005} } @ARTICLE{B, AUTHOR = {Behrend, Kai}, TITLE = {Gromov-{W}itten invariants in algebraic geometry}, JOURNAL = {Inventiones Mathematica}, YEAR = {1997}, VOLUME = {127}, PAGES = {601--617}, EPRINT = {alg-geom/9601011}, } @INCOLLECTION{cohomology-of-stacks, AUTHOR = {Behrend, Kai}, TITLE = {Cohomology of stacks}, BOOKTITLE = {Intersection theory and moduli}, SERIES = {ICTP Lect. Notes, XIX}, PAGES = {249--294}, PUBLISHER = {Abdus Salam Int. Cent. Theoret. Phys., Trieste}, YEAR = {2004}, } % AUTHOR now has a second initial, not for his other papers, what to choose? @ARTICLE{behrend_derived, AUTHOR = {Behrend, Kai A.}, TITLE = {Derived {$l$}-adic categories for algebraic stacks}, JOURNAL = {Mem. Amer. Math. Soc.}, VOLUME = {163}, YEAR = {2003}, NUMBER = {774}, PAGES = {viii+93}, } @INCOLLECTION{behrend_cohomology, AUTHOR = {Behrend, Kai}, TITLE = {Cohomology of stacks}, BOOKTITLE = {Intersection theory and moduli}, SERIES = {ICTP Lect. Notes, XIX}, PAGES = {249--294}, PUBLISHER = {Abdus Salam Int. Cent. Theoret. Phys., Trieste}, YEAR = {2004}, } @ARTICLE{behrend-noohi, AUTHOR = {Behrend, Kai and Noohi, Behrang}, TITLE = {Uniformization of {D}eligne-{M}umford curves}, JOURNAL = {J. Reine Angew. Math.}, FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik}, VOLUME = {599}, YEAR = {2006}, PAGES = {111--153}, ISSN = {0075-4102}, CODEN = {JRMAA8}, } @ARTICLE{behrend-fantechi, AUTHOR = {Behrend, Kai and Fantechi, Barbara}, TITLE = {The intrinsic normal cone}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {128}, YEAR = {1997}, NUMBER = {1}, PAGES = {45--88}, } @ARTICLE{BM, AUTHOR = {Behrend, Kai and Manin, Yuri}, TITLE = {Stacks of stable maps and {G}romov-{W}itten invariants}, JOURNAL = {Duke Math Journal}, YEAR = {1996}, VOLUME = {85}, PAGES = {1--60}, EPRINT = {alg-geom/9506023}, } @UNPUBLISHED{stacks_book, AUTHOR = {Behrend, Kai and Conrad, Brian and Edidin, Dan and Fantechi, Barbara and Fulton, William and G{\"o}ttsche, Lothar and Kresch, Andrew}, TITLE = {Algebraic stacks}, URL = {http://www.math.uzh.ch/index.php?pr_vo_det&key1=1287&key2=580&no_cache=1}, YEAR = {2007}, } @INCOLLECTION{BBD, AUTHOR = {Beilinson, Alexander A. and Bernstein, Joseph and Deligne, Pierre}, TITLE = {Faisceaux pervers}, BOOKTITLE = {Analysis and topology on singular spaces, {I} ({L}uminy, 1981)}, SERIES = {Ast\'erisque}, VOLUME = {100}, PAGES = {5--171}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1982}, } @UNPUBLISHED{BVGD, AUTHOR = {Beilinson, Alexander and Drinfeld, Vladimir}, TITLE = {Quantization of Hitchin's integrable system and Hecke eigensheaves}, NOTE = {preprint}, PAGES = {384}, URL = {http://www.math.uchicago.edu/~mitya/langlands/hitchin/BD-hitchin.pdf}, } @ARTICLE{Bennett, AUTHOR = {Bennett, Bruce}, TITLE = {On the structure of non-excellent curve singularities in characteristic {$p$}}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques}, NUMBER = {42}, YEAR = {1973}, PAGES = {129--170}, } @BOOK{Berkovich, AUTHOR = {Berkovich, Vladimir G.}, TITLE = {Spectral theory and analytic geometry over non-{A}rchimedean fields}, SERIES = {Mathematical Surveys and Monographs}, VOLUME = {33}, PUBLISHER = {American Mathematical Society, Providence, RI}, YEAR = {1990}, PAGES = {x+169}, } @BOOK{Berthelot, AUTHOR = {Berthelot, Pierre}, TITLE = {Cohomologie cristalline des sch\'emas de caract\'eristique {$p>0$}}, SERIES = {Lecture Notes in Mathematics, Vol. 407}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1974}, PAGES = {604}, } @ARTICLE{BO, AUTHOR = {Berthelot, Pierre and Ogus, Arthur}, TITLE = {{$F$}-isocrystals and de {R}ham cohomology. {I}}, JOURNAL = {Invent. Math.}, VOLUME = {72}, YEAR = {1983}, NUMBER = {2}, PAGES = {159--199}, } @BOOK{SGA6, AUTHOR = {Berthelot, Pierre and Grothendieck, Alexander and Illusie, Luc}, TITLE = {Th{\'e}orie des {I}ntersections et {T}h{\'e}or{\e}me de {R}iemann-{R}och}, PUBLISHER = {Springer-Verlag}, YEAR = {1971}, SERIES = {Lecture notes in mathematics}, VOLUME = {225}, } @MISC{Bhatt, AUTHOR = {Bhatt, Bhargav and de Jong, Aise Johan}, TITLE = {Crystalline cohomology and de Rham cohomology}, EPRINT = {1110.5001}, EPRINTTYPE = {arXiv}, YEAR = {2011} } @ARTICLE{Bhatt-local, AUTHOR = {Bhatt, Bhargav and de Jong, Aise Johan}, TITLE = {Lefschetz for local {P}icard groups}, JOURNAL = {Ann. Sci. \'Ec. Norm. Sup\'er. (4)}, VOLUME = {47}, YEAR = {2014}, NUMBER = {4}, PAGES = {833--849}, } @MISC{Bhatt-Algebraize, AUTHOR = {Bhatt, Bhargav}, TITLE = {Algebraization and Tannaka duality}, PAGES = {35}, EPRINT = {1404.7483}, EPRINTTYPE = {arXiv}, YEAR = {2014}, } @MISC{BhattSmallCMMod, AUTHOR = {Bhatt, Bhargav}, TITLE = {On the non-existence of small {C}ohen-{M}acaulay algebras}, YEAR = {2012}, EPRINT = {1207.5413}, EPRINTTYPE = {arXiv}, } @UNPUBLISHED{BS, AUTHOR = {Bhatt, Bhargav and Scholze, Peter}, TITLE = {The pro-\'etale topology for schemes}, YEAR = {2013}, PAGES = {1 -- 38}, NOTE = {preprint}, } @ARTICLE{Birman, AUTHOR = {Birman, Joan}, TITLE = {On braid groups}, JOURNAL = {Comm. Pure Appl. Math.}, VOLUME = {22}, YEAR = {1968}, PAGES = {41--72}, } @ARTICLE{Bkouche, AUTHOR = {Bkouche, Rudolphe}, TITLE = {Puret\'e, mollesse et paracompacit\'e}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B}, VOLUME = {270}, YEAR = {1970}, } @ARTICLE{Bokstedt-Neeman, AUTHOR = {B{\"o}kstedt, Marcel and Neeman, Amnon}, TITLE = {Homotopy limits in triangulated categories}, JOURNAL = {Compositio Math.}, VOLUME = {86}, YEAR = {1993}, NUMBER = {2}, PAGES = {209--234}, } @ARTICLE{Bondal-Kapranov, AUTHOR = {Bondal, Alexei. and Kapranov, Mikhail}, TITLE = {Representable functors, Serre functors, and reconstructions}, JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.}, VOLUME = {53}, YEAR = {1989}, NUMBER = {6}, PAGES = {1183--1205, 1337}, } @ARTICLE{BvdB, AUTHOR = {Bondal, Alexei and {Van den Bergh}, Michel}, TITLE = {Generators and representability of functors in commutative and noncommutative geometry}, JOURNAL = {Mosc. Math. J.}, VOLUME = {3}, YEAR = {2003}, NUMBER = {1}, PAGES = {1--36}, } @BOOK{Borel, AUTHOR = {Borel, Armand}, TITLE = {Linear algebraic groups}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {126}, EDITION = {Second}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {1991}, PAGES = {xii+288}, URL = {http://dx.doi.org/10.1007/978-1-4612-0941-6}, } @ARTICLE{bcs, AUTHOR = {Borisov, Lev A. and Chen, Linda and Smith, Gregory George}, TITLE = {The orbifold {C}how ring of toric {D}eligne-{M}umford stacks}, JOURNAL = {J. Amer. Math. Soc.}, FJOURNAL = {Journal of the American Mathematical Society}, VOLUME = {18}, YEAR = {2005}, NUMBER = {1}, PAGES = {193--215}, } @BOOK{Bourbaki-CA, AUTHOR = {Bourbaki, Nicolas}, TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\ebre commutative}, PUBLISHER = {Hermann}, ADDRESS = {Paris}, YEAR = {1961}, } @BOOK{Bourbaki, AUTHOR = {Bourbaki, Nicolas}, TITLE = {\'{E}l\'ements de math\'ematique. {T}opologie g\'en\'erale. {C}hapitres 1 \a 4}, PUBLISHER = {Hermann}, ADDRESS = {Paris}, YEAR = {1971}, PAGES = {xv+357}, } @BOOK{Ner, AUTHOR = {Bosch, Siegfried and L{\"u}tkebohmert, Werner and Raynaud, Michel}, TITLE = {N\'eron Models}, PUBLISHER = {Springer-Verlag}, YEAR = {1990}, VOLUME = {21}, SERIES = {Ergebnisse der {M}athematik und ihrer {G}renzgebiete}, } @ARTICLE{Brieskorn, AUTHOR = {Brieskorn, Egbert}, TITLE = {Rationale {S}ingularit\"aten komplexer {F}l\"achen}, JOURNAL = {Invent. Math.}, VOLUME = {4}, YEAR = {1967/1968}, PAGES = {336--358}, } @ARTICLE{WhatExact, AUTHOR = {Buchsbaum, David Alvin and Eisenbud, David}, TITLE = {What makes a complex exact?}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {25}, YEAR = {1973}, PAGES = {259--268} } @ARTICLE{Buhler, AUTHOR = {B{\"u}hler, Theo}, TITLE = {Exact categories}, JOURNAL = {Expo. Math.}, FJOURNAL = {Expositiones Mathematicae}, VOLUME = {28}, YEAR = {2010}, NUMBER = {1}, PAGES = {1--69} } %%%%%%%%%%%%%%%%%%%%%% C %%%%%%%%%%%%%%%%%%%%%% @ARTICLE{cadman, AUTHOR = {Cadman, Charles}, TITLE = {Using stacks to impose tangency conditions on curves}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {129}, YEAR = {2007}, NUMBER = {2}, PAGES = {405--427}, } @ARTICLE{Ca, AUTHOR = {Campana, Frederic}, TITLE = {Connexit{\'e} rationnelle des vari{\'e}t{\'e}s de {F}ano}, JOURNAL = {Ann. Sc. E. N. S.}, YEAR = {1992}, VOLUME = {25}, PAGES = {539-545}, } @ARTICLE{C91, AUTHOR = {Campana, Frederic}, TITLE = {On the twistor spaces of class $\mathcal{C}$}, JOURNAL = {J. Diff. Geom.}, YEAR = {1991}, VOLUME = {33}, PAGES = {541-549}, } @BOOK{Cartan-Eilenberg, AUTHOR = {Cartan, Henri and Eilenberg, Samuel}, TITLE = {Homological algebra}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, N. J.}, YEAR = {1956}, PAGES = {xv+390}, } @ARTICLE{C, AUTHOR = {Castravet, Ana-Maria}, TITLE = {Rational families of vector bundles on curves}, JOURNAL = {Internat. J. Math.}, FJOURNAL = {International Journal of Mathematics}, VOLUME = {15}, YEAR = {2004}, NUMBER = {1}, PAGES = {13--45}, } @ARTICLE{Chase, AUTHOR = {Chase, Stephen U.}, TITLE = {Direct products of modules}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {97}, YEAR = {1960}, PAGES = {457--473}, } @ARTICLE{Chevalley35, AUTHOR = {Chevalley, Claude}, TITLE = {D{\'e}monstration d{'}une hypoth{\e}se de {M}. {A}rtin}, JOURNAL = {Abh. Math. S{\'e}min. Hamburg. Univ.}, VOLUME = {11}, YEAR = {1935}, PAGES = {73 -- 75}, } % this seems to be wrong: % http://www.zentralblatt-math.org/zmath/en/search/?q=an:0011.14504&format=complete % it's M. Artin in the title, but either it was written in 1935 and it's Emil % (Chevalley being really young), or it is (probably) Michael Artin and it's 1975. % % No, it is 1935 and the M. stands for Monsieur not for Michael! So it is Emil Artin. % In 1935 Chevalley could not know this would lead to confusion as Michael was only % 1 year old... @ARTICLE{ChevalleyI, AUTHOR = {Chevalley, Claude}, TITLE = {Les classes d{'}equivalence rationnelles I}, JOURNAL = {S{'}eminair Claude Chevalley}, PAGES = {14}, YEAR = {1958}, } @ARTICLE{ChevalleyII, AUTHOR = {Chevalley, Claude}, TITLE = {Les classes d{'}equivalence rationnelles {II}}, JOURNAL = {S{'}eminair Claude Chevalley}, PAGES = {18}, YEAR = {1958}, } @ARTICLE{Chevalley-power-series, AUTHOR = {Chevalley, Claude}, TITLE = {Some properties of ideals in rings of power series}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {55}, YEAR = {1944}, PAGES = {68--84}, } @ARTICLE{Cipu, AUTHOR = {Cipu, Mihai and Popescu, Dorin}, TITLE = {A desingularization theorem of {N}\'eron type}, JOURNAL = {Ann. Univ. Ferrara Sez. {VII} (N.S.)}, VOLUME = {30}, YEAR = {1984}, PAGES = {63--76}, } @ARTICLE{Clebsch, AUTHOR = {Clebsch, Alfred}, TITLE = {Zur {T}heorie der {R}iemann'schen {F}lachen}, JOURNAL = {Mathematische Annalen}, YEAR = {1872}, VOLUME = {6}, PAGES = {216--230}, } @ARTICLE{CG, AUTHOR = {Clemens, Herbert Clemens and Griffiths, Phillip Augustus}, TITLE = {The Intermediate {J}acobian of the Cubic Threefold}, JOURNAL = {Annals of Mathematics}, YEAR = {1972}, VOLUME = {95}, PAGES = {281--356}, } @UNPUBLISHED{CT, AUTHOR = {Colliot-Th{\'e}l{\e}ne, Jean-Louis}, TITLE = {Die {B}rauersche {G}ruppe; ihre {V}erallgemeinerungen und {A}nwendungen in der {A}rithmetischen {G}eometrie}, YEAR = {2001}, NOTE = {preprint}, URL = {http://www.math.u-psud.fr/~colliot/liste-prepub.html}, } % it's not really a preprint I think @ARTICLE{conrad, AUTHOR = {Conrad, Brian}, TITLE = {Keel-Mori theorem via stacks}, URL = {http://www.math.lsa.umich.edu/~bdconrad/papers/coarsespace.pdf}, YEAR = {2005}, } @ARTICLE{conrad_gaga, AUTHOR = {Conrad, Brian}, TITLE = {Formal GAGA for Artin stacks}, URL = {http://math.stanford.edu/~conrad/papers/formalgaga.pdf}, YEAR = {2005}, } @BOOK{Conrad-GD, AUTHOR = {Conrad, Brian}, TITLE = {Grothendieck duality and base change}, SERIES = {Lecture Notes in Mathematics}, VOLUME = {1750}, PUBLISHER = {Springer-Verlag, Berlin}, YEAR = {2000}, PAGES = {vi+296}, URL = {http://dx.doi.org/10.1007/b75857}, } @ARTICLE{Conrad-Nagata, AUTHOR = {Conrad, Brian}, TITLE = {Deligne's notes on {N}agata compactifications}, JOURNAL = {J. Ramanujan Math. Soc.}, FJOURNAL = {Journal of the Ramanujan Mathematical Society}, VOLUME = {22}, YEAR = {2007}, NUMBER = {3}, PAGES = {205--257}, ISSN = {0970-1249}, } @ARTICLE{conrad-dejong, AUTHOR = {Conrad, Brian and de Jong, Aise Johan}, TITLE = {Approximation of versal deformations}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {255}, YEAR = {2002}, NUMBER = {2}, PAGES = {489--515}, ISSN = {0021-8693}, CODEN = {JALGA4}, } @ARTICLE{Conrad-moduli, AUTHOR = {Conrad, Brian}, TITLE = {Arithmetic moduli of generalized elliptic curves}, JOURNAL = {J. Inst. Math. Jussieu}, VOLUME = {6}, YEAR = {2007}, NUMBER = {2}, PAGES = {209--278}, URL = {http://dx.doi.org/10.1017/S1474748006000089}, } @ARTICLE{CLO, AUTHOR = {Conrad, Brian and Lieblich, Max and Olsson, Martin}, TITLE = {Nagata compactification for algebraic spaces}, JOURNAL = {J. Inst. Math. Jussieu}, VOLUME = {11}, YEAR = {2012}, NUMBER = {4}, PAGES = {747--814}, } @ARTICLE{Coombes, AUTHOR = {Coombes, Kevin Robert}, TITLE = {Every rational surface is separably split}, JOURNAL = {Comment. Math. Helv.}, YEAR = {1988}, VOLUME = {63}, PAGES = {305--311}, } @BOOK{CosDol, AUTHOR = {Cossec, Fran{\c{c}}ois and Dolgachev, Igor}, TITLE = {Enriques Surfaces {I}}, PUBLISHER = {Birkh{\"{a}}user}, YEAR = {1989}, SERIES = {Progress in Mathematics}, VOLUME = {76}, } @ARTICLE{Crew, AUTHOR = {Crew, Richard}, TITLE = {Etale $p$-covers in characteristic $p$}, JOURNAL = {Compositio Mathematica}, YEAR = {1984}, VOLUME = {52}, PAGES = {31--45}, } @BOOK{CK, AUTHOR = {Cox, David Archibald and Katz, Sheldon}, TITLE = {Mirror Symmetry and Algebraic Geometry}, PUBLISHER = {American Mathematical Society}, YEAR = {1999}, VOLUME = {68}, SERIES = {Mathematical Surveys}, } %%%%%%%%%%%%%%%%%%%%%% D %%%%%%%%%%%%%%%%%%%%%% @BOOK{De, AUTHOR = {Debarre, Olivier}, TITLE = {Higher-dimensional algebraic geometry}, PUBLISHER = {Springer-Verlag}, YEAR = {2001}, SERIES = {Universitext}, } @ARTICLE{DBX, AUTHOR = {Debarre, Olivier}, TITLE = {Vari\'et\'es rationnellement connexes (d'apr\es {T}. {G}raber, {J}. {H}arris, {J}. {S}tarr et {A}. {J}. de {J}ong)}, NOTE = {S\'eminaire Bourbaki. Vol. 2001/2002}, JOURNAL = {Ast\'erisque}, FJOURNAL = {Ast\'erisque}, NUMBER = {290}, YEAR = {2003}, PAGES = {243--266}, ISSN = {0303-1179}, } @ARTICLE{WeilI, AUTHOR = {Deligne, Pierre}, TITLE = {La conjecture de {W}eil. {II}}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {52}, YEAR = {1980}, PAGES = {137--252}, } @ARTICLE{WeilII, AUTHOR = {Deligne, Pierre}, TITLE = {La conjecture de {W}eil. {I}}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {43}, YEAR = {1974}, PAGES = {273--307}, } @ARTICLE{HodgeII, AUTHOR = {Deligne, Pierre}, TITLE = {Th\'eorie de {H}odge. {II}}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {40}, YEAR = {1971}, PAGES = {5--57}, } @ARTICLE{HodgeIII, AUTHOR = {Deligne, Pierre}, TITLE = {Th\'eorie de {H}odge. {III}}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {44}, YEAR = {1974}, PAGES = {5--77}, } @ARTICLE{DM, AUTHOR = {Deligne, Pierre and Mumford, David}, TITLE = {The irreducibility of the space of curves of given genus}, JOURNAL = {Publ. Math. IHES}, VOLUME = {36}, YEAR = {1969}, PAGES = {75--110}, } @BOOK{SGA4.5, AUTHOR = {Deligne, Pierre}, TITLE = {Cohomologie \'etale}, PUBLISHER = {Springer-Verlag}, SERIES = {Lecture Notes in Mathematics}, YEAR = {1977}, NUMBER = {569}, } @BOOK{SGA7-II, AUTHOR = {Deligne, Pierre and Katz, Nicholas}, TITLE = {Groupes de monodromie en g\'eom\'etrie alg\'ebrique. {II}}, SERIES = {Lecture Notes in Mathematics, Vol 340}, NOTE = {S{\'e}minaire de G{\'e}om{\'e}trie Alg{\'e}brique du Bois-Marie 1967--1969 (SGA 7, {II})}, PUBLISHER = {Springer-Verlag}, YEAR = {1973}, PAGES = {x+438}, } @ARTICLE{DeMarco, AUTHOR = {De Marco, Guiseppe}, TITLE = {Projectivity of pure ideals}, JOURNAL = {Rend. Sem. Mat. Univ. Padova}, VOLUME = {69}, YEAR = {1983}, PAGES = {289--304}, URL = {http://www.numdam.org/item?id=RSMUP_1983__69__289_0}, } @BOOK{Deuring, AUTHOR = {Deuring, Max}, TITLE = {Algebren}, SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1968}, PAGES = {viii+143}, } @ARTICLE{EGA, AUTHOR = {Dieudonn{\'e}, Jean and Grothendieck, Alexander}, TITLE = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, VOLUME = {4, 8, 11, 17, 20, 24, 28, 32}, YEAR = {1961--1967}, } % these should be separate books @ARTICLE{Doncel, AUTHOR = {Doncel, Jos{\'e} Lu{\'i}s and Rodr{\'i}guez-Grandje{\'a}n, Alfredo and Vale, Maria Jes{\'u}s}, TITLE = {On the homology of commutative algebras}, JOURNAL = {J. Pure Appl. Algebra}, VOLUME = {79}, YEAR = {1992}, NUMBER = {2}, PAGES = {131--157}, } @ARTICLE{Drinfeld-number, AUTHOR = {Vl{\e}du{\c{t}}, Sergei Georgievich and Drinfel'd, Vladimir Gershonovich}, TITLE = {The number of points of an algebraic curve}, JOURNAL = {Funktsional. Anal. i Prilozhen.}, FJOURNAL = {Akademiya Nauk SSSR. Funktsional\cprime ny\u\i\ Analiz i ego Prilozheniya}, VOLUME = {17}, YEAR = {1983}, NUMBER = {1}, PAGES = {68--69}, ISSN = {0374-1990}, } @ARTICLE{D2, AUTHOR = {Drinfel'd, Vladimir Gershonovich}, TITLE = {Two-dimensional {$l$}-adic representations of the {G}alois group of a global field of characteristic {$p$} and automorphic forms on {${\rm GL}(2)$}}, NOTE = {Automorphic functions and number theory, {II}}, JOURNAL = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)}, FJOURNAL = {Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta imeni V. A. Steklova Akademii Nauk SSSR (LOMI)}, VOLUME = {134}, YEAR = {1984}, PAGES = {138--156}, } @ARTICLE{D1, AUTHOR = {Drinfel'd, Vladimir Gershonovich}, TITLE = {Two-dimensional {$l$}-adic representations of the fundamental group of a curve over a finite field and automorphic forms on {${\rm GL}(2)$}}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {105}, YEAR = {1983}, NUMBER = {1}, PAGES = {85--114}, } @INPROCEEDINGS{D0, AUTHOR = {Drinfel'd, Vladimir Gershonovich}, TITLE = {Langlands' conjecture for {${\rm GL}(2)$} over functional fields}, BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of {M}athematicians ({H}elsinki, 1978)}, PAGES = {565--574}, PUBLISHER = {Acad. Sci. Fennica}, ADDRESS = {Helsinki}, YEAR = {1980}, } @ARTICLE{Dumitrescu, AUTHOR = {Dumitrescu, Tiberiu}, TITLE = {On some examples of atomic domains and of {$G$}-rings}, JOURNAL = {Comm. Algebra}, VOLUME = {28}, YEAR = {2000}, NUMBER = {3}, PAGES = {1115--1123}, } @ARTICLE{Dwyer-Greenlees, AUTHOR = {Dwyer, William G. and Greenlees, John Patrick Campbell}, TITLE = {Complete modules and torsion modules}, JOURNAL = {Amer. J. Math.}, VOLUME = {124}, YEAR = {2002}, NUMBER = {1}, PAGES = {199--220}, } %%%%%%%%%%%%%%%%%%%%%% E %%%%%%%%%%%%%%%%%%%%%% @ARTICLE{Eakin, AUTHOR = {Eakin, Jr., Paul Mechlin}, TITLE = {The converse to a well known theorem on {N}oetherian rings}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {177}, YEAR = {1968}, PAGES = {278--282}, } @ARTICLE{edidin-graham, AUTHOR = {Edidin, Dan and Graham, William}, TITLE = {Equivariant intersection theory}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {131}, YEAR = {1998}, NUMBER = {3}, PAGES = {595--634}, } @ARTICLE{edidin_whatis, AUTHOR = {Edidin, Dan}, TITLE = {What is a Stack?}, JOURNAL = {Notices Amer. Math. Soc.}, FJOURNAL = {Notices of the American Mathematical Society}, VOLUME = {50}, YEAR = {2003}, NUMBER = {4}, PAGES = {458--459}, } @INCOLLECTION{edidin_notes, AUTHOR = {Edidin, Dan}, TITLE = {Notes on the construction of the moduli space of curves}, BOOKTITLE = {Recent progress in intersection theory ({B}ologna, 1997)}, SERIES = {Trends Math.}, PAGES = {85--113}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Boston, MA}, YEAR = {2000}, } @ARTICLE{ehkv, AUTHOR = {Edidin, Dan and Hassett, Brendan and Kresch, Andrew and Vistoli, Angelo}, TITLE = {Brauer groups and quotient stacks}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {123}, YEAR = {2001}, NUMBER = {4}, PAGES = {761--777}, } @ARTICLE{GenEqui, AUTHOR = {Eilenberg, Samuel and {Mac Lane}, Saunders}, TITLE = {General theory of natural equivalences}, JOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {58}, YEAR = {1945}, PAGES = {231--294}, } @BOOK{Eilenberg-Steenrod, AUTHOR = {Eilenberg, Samuel and Steenrod, Norman}, TITLE = {Foundations of algebraic topology}, PUBLISHER = {Princeton University Press, Princeton, New Jersey}, YEAR = {1952}, PAGES = {xv+328}, } @ARTICLE{Eilenberg-Zilber, AUTHOR = {Eilenberg, Samuel and Zilber, Joseph Abraham}, TITLE = {On products of complexes}, JOURNAL = {Amer. J. Math.}, SHORTJOURNAL = {American Journal of Mathematics}, VOLUME = {75}, YEAR = {1953}, PAGES = {200--204}, ISSN = {0002-9327}, } @ARTICLE{EMY, AUTHOR = {Ein, Lawrence and Musta{\c{t}}{\u{a}}, Mircea and Yasuda, Takehiko}, TITLE = {Jet schemes, log discrepancies and inversion of adjunction}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {153}, YEAR = {2003}, NUMBER = {3}, PAGES = {519--535}, } @ARTICLE{MR2102399, AUTHOR = {Ein, Lawrence and Musta{\c{t}}{\u{a}}, Mircea}, TITLE = {Inversion of adjunction for local complete intersection varieties}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {126}, YEAR = {2004}, NUMBER = {6}, PAGES = {1355--1365}, } @BOOK{Eisenbud, AUTHOR = {Eisenbud, David}, TITLE = {Commutative Algebra}, PUBLISHER = {Springer-Verlag}, YEAR = {1995}, VOLUME = {150}, SERIES = {Graduate Texts in Mathematics}, } @ARTICLE{Eis, AUTHOR = {Eisenbud, David and Huneke, Craig}, TITLE = {A finiteness property of infinite resolutions}, JOURNAL = {J. Pure Appl. Algebra}, VOLUME = {201}, YEAR = {2005}, NUMBER = {1-3}, PAGES = {284--294}, } @ARTICLE{Elkik, AUTHOR = {Elkik, Ren{\'e}e}, TITLE = {Solutions d'\'equations \a coefficients dans un anneau hens\'elien}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, VOLUME = {6}, YEAR = {1973}, PAGES = {553--603}, } @ARTICLE{Ekedahl, AUTHOR = {Ekedahl, Torsten}, TITLE = {On the adic formalism}, BOOKTITLE = {The Grothendieck Festschrift, Vol.\ II}, VOLUME = {87}, SERIES = {Progr. Math.}, PAGES = {197--218}, PUBLISHER = {Birkh{\"a}user Boston, Boston, MA}, YEAR = {1990}, } @ARTICLE{Emerton-Gee, AUTHOR = {Emerton, Matthew and Gee, Toby}, TITLE = {Scheme-theoretic images'' of morphisms of stacks}, YEAR = {2015}, EPRINT = {1506.06146}, EPRINTTYPE = {arXiv}, } @ARTICLE{Emmanouil, AUTHOR = {Emmanouil, Ioannis}, TITLE = {Mittag-{L}effler condition and the vanishing of {$\varprojlim^1$}}, JOURNAL = {Topology}, VOLUME = {35}, YEAR = {1996}, NUMBER = {1}, PAGES = {267--271}, URL = {http://dx.doi.org/10.1016/0040-9383(94)00056-5}, } @BOOK{Engelking, AUTHOR = {Engelking, Rysxard}, TITLE = {General Topology}, PUBLISHER = {Taylor \& Francis}, YEAR = {1977}, } @ARTICLE{Epp, AUTHOR = {Epp, Helmut P.}, TITLE = {Eliminating wild ramification}, JOURNAL = {Invent. Math.}, VOLUME = {19}, YEAR = {1973}, PAGES = {235--249}, } @ARTICLE{MR1943746, AUTHOR = {Esnault, H{\'e}l{\e}ne}, TITLE = {Varieties over a finite field with trivial {C}how group of 0-cycles have a rational point}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {151}, YEAR = {2003}, NUMBER = {1}, PAGES = {187--191}, } %%%%%%%%%%%%%%%%%%%%%% F %%%%%%%%%%%%%%%%%%%%%% @ARTICLE{Faltings-finiteness, AUTHOR = {Faltings, Gerd}, TITLE = {Der {E}ndlichkeitssatz in der lokalen {K}ohomologie}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {255}, YEAR = {1981}, NUMBER = {1}, PAGES = {45--56}, URL = {http://dx.doi.org/10.1007/BF01450555}, } @ARTICLE{Faltings-dualizing, AUTHOR = {Faltings, Gerd}, TITLE = {Zur {E}xistenz dualisierender {K}omplexe}, JOURNAL = {Math. Z.}, VOLUME = {162}, YEAR = {1978}, NUMBER = {1}, PAGES = {75--86}, URL = {http://dx.doi.org/10.1007/BF01437825}, } @ARTICLE{Faltings-annulators, AUTHOR = {Faltings, Gerd}, TITLE = {\"{U}ber die {A}nnulatoren lokaler {K}ohomologiegruppen}, JOURNAL = {Arch. Math. (Basel)}, VOLUME = {30}, YEAR = {1978}, NUMBER = {5}, PAGES = {473--476}, } @ARTICLE{Faltings-einfacher, AUTHOR = {Faltings, Gerd}, TITLE = {Ein einfacher {B}eweis, dass geometrische {R}egularit\"at formale {G}lattheit impliziert}, JOURNAL = {Arch. Math. (Basel)}, VOLUME = {30}, YEAR = {1978}, NUMBER = {3}, PAGES = {284--285}, } @ARTICLE{faltings, AUTHOR = {Faltings, Gerd}, TITLE = {Stable {$G$}-bundles and projective connections}, JOURNAL = {J. Algebraic Geom.}, FJOURNAL = {Journal of Algebraic Geometry}, VOLUME = {2}, YEAR = {1993}, NUMBER = {3}, PAGES = {507--568}, ISSN = {1056-3911}, } @ARTICLE{faltings_finiteness, AUTHOR = {Faltings, Gerd}, TITLE = {Finiteness of coherent cohomology for proper fppf stacks}, JOURNAL = {J. Algebraic Geom.}, FJOURNAL = {Journal of Algebraic Geometry}, VOLUME = {12}, YEAR = {2003}, NUMBER = {2}, PAGES = {357--366}, ISSN = {1056-3911}, } @ARTICLE{Faltings-very, AUTHOR = {Faltings, Gerd}, TITLE = {Integral crystalline cohomology over very ramified valuation rings}, JOURNAL = {J. Amer. Math. Soc.}, VOLUME = {12}, YEAR = {1999}, NUMBER = {1}, PAGES = {117--144}, } @INCOLLECTION{fantechi_stacks, AUTHOR = {Fantechi, Barbara}, TITLE = {Stacks for everybody}, BOOKTITLE = {European {C}ongress of {M}athematics, {V}ol. {I} ({B}arcelona, 2000)}, SERIES = {Progr. Math.}, VOLUME = {201}, PAGES = {349--359}, PUBLISHER = {Birkh\"auser}, ADDRESS = {Basel}, YEAR = {2001}, } @ARTICLE{MR1887119, AUTHOR = {Fantechi, Barbara and Pandharipande, Rahul}, TITLE = {Stable maps and branch divisors}, JOURNAL = {Compositio Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {130}, YEAR = {2002}, NUMBER = {3}, PAGES = {345--364}, } @ARTICLE{fmn, AUTHOR = {Fantechi, Barbara and Mann, Etienne and Nironi, Fabio}, TITLE = {Smooth toric DM stacks}, JOURNAL = {math.AG/0708.1254}, YEAR = {2007} } @ARTICLE{Ferrand, AUTHOR = {Ferrand, Daniel}, TITLE = {Descente de la platitude par un homomorphisme fini}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B}, VOLUME = {269}, YEAR = {1969}, } @ARTICLE{Ferrand-epi, AUTHOR = {Ferrand, Daniel}, TITLE = {\'{E}pimorphismes d'anneaux et alg\ebres s\'eparables}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B}, VOLUME = {265}, YEAR = {1967}, PAGES = {A411--A414}, } @ARTICLE{Ferrand-Raynaud, AUTHOR = {Ferrand, Daniel and Raynaud, Michel}, TITLE = {Fibres formelles d'un anneau local noeth\'erien}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, VOLUME = {3}, YEAR = {1970}, PAGES = {295--311}, ISSN = {0012-9593}, } @ARTICLE{Flenner, AUTHOR = {Flenner, Hubert}, TITLE = {Ein {K}riterium f\"ur die {O}ffenheit der {V}ersalit\"at}, JOURNAL = {Math. Z.}, VOLUME = {178}, YEAR = {1981}, NUMBER = {4}, PAGES = {449--473}, } @BOOK{Forster, AUTHOR = {Forster, Otto}, TITLE = {Lectures on {R}iemann surfaces}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {81}, NOTE = {Translated from the 1977 German original by Bruce Gilligan, Reprint of the 1981 English translation}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1991}, PAGES = {viii+254}, } @BOOK{Freyd, AUTHOR = {Freyd, Peter}, TITLE = {Abelian categories. {A}n introduction to the theory of functors}, SERIES = {Harper's Series in Modern Mathematics}, PUBLISHER = {Harper \& Row Publishers}, ADDRESS = {New York}, YEAR = {1964}, PAGES = {xi+164}, } @MISC{Fujiwara-Kato, AUTHOR = {Fujiwara, Kazuhiro and Kato, Fumiharu}, TITLE = {Foundations of Rigid Geometry I}, EPRINT = {1308.4734}, EPRINTTYPE = {arXiv}, } @ARTICLE{F69, AUTHOR = {Fulton, William}, TITLE = {Hurwitz schemes and moduli of curves}, JOURNAL = {Annals of Mathematics}, YEAR = {1969}, VOLUME = {90}, PAGES = {542-575}, } @BOOK{F, AUTHOR = {Fulton, William}, TITLE = {Intersection Theory}, PUBLISHER = {Springer-Verlag}, YEAR = {1998}, VOLUME = {2}, SERIES = {Ergebnisse der {M}athematik und ihrer {G}renzgebiete, 3. Folge}, EDITION = {2}, } @BOOK{FH, AUTHOR = {Fulton, William and Harris, Joe}, TITLE = {Representation Theory, a First Course}, PUBLISHER = {Springer-Verlag}, YEAR = {1991}, VOLUME = {129}, SERIES = {Graduate Texts in Mathematics}, } @ARTICLE{PicM11, AUTHOR = {Fulton, William and Olsson, Martin Christian}, TITLE = {The {P}icard group of {$\mathcal{M}_{1,1}$}}, JOURNAL = {Algebra and Number Theory}, VOLUME = {4}, YEAR = {2010}, NUMBER = {1}, PAGES = {87--104}, } @INCOLLECTION{FP, AUTHOR = {Fulton, William and Pandaharipande, Rahul}, TITLE = {Notes on stable maps and quantum cohomology}, BOOKTITLE = {Algebraic geometry -- Santa Cruz 1995}, PUBLISHER = {American Mathematical Society}, YEAR = {1995}, PAGES = {45--96}, EPRINT = {alg-geom/9608011}, } @ARTICLE{FM, AUTHOR = {Fulton, William and MacPherson, Robert}, TITLE = {Categorical framework for the study of singular spaces}, JOURNAL = {Mem. Amer. Math. Soc.}, VOLUME = {31}, YEAR = {1981}, NUMBER = {243}, PAGES = {vi+165}, URL = {http://dx.doi.org/10.1090/memo/0243}, } @ARTICLE{FDL, URL = {http://www.gnu.org/licenses/fdl.html}, } %%%%%%%%%%%%%%%%%%%%%% G %%%%%%%%%%%%%%%%%%%%%% @ARTICLE{gabber-affine-proper, AUTHOR = {Gabber, Ofer}, TITLE = {Affine analog of the proper base change theorem}, JOURNAL = {Israel J. Math.}, VOLUME = {87}, YEAR = {1994}, NUMBER = {1-3}, PAGES = {325--335}, URL = {http://dx.doi.org/10.1007/BF02773001}, } @ARTICLE{gabber-nonexcellent, AUTHOR = {Gabber, Ofer}, TITLE = {A property of nonexcellent rings}, JOURNAL = {Manuscripta Math.}, VOLUME = {91}, YEAR = {1996}, NUMBER = {4}, PAGES = {543--546}, URL = {http://dx.doi.org/10.1007/BF02567973}, } @BOOK{GZ, AUTHOR = {Gabriel, Pierre and Zisman, Michel}, TITLE = {Calculus of fractions and homotopy theory}, SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35}, PUBLISHER = {Springer-Verlag New York, Inc., New York}, YEAR = {1967}, PAGES = {x+168}, } @ARTICLE{Gaitsgory, AUTHOR = {Gaitsgory, Dennis}, TITLE = {On de {J}ong's conjecture}, JOURNAL = {Israel J. Math.}, FJOURNAL = {Israel Journal of Mathematics}, VOLUME = {157}, YEAR = {2007}, PAGES = {155--191}, ISSN = {0021-2172}, } @UNPUBLISHED{G-R, AUTHOR = {Gaitsgory, Dennis and Rozenblyum, Nick}, TITLE = {DG Indschemes}, YEAR = {2013}, URL = {http://www.math.harvard.edu/~gaitsgde/GL/IndSchemestext.pdf}, } @ARTICLE{gs_toric1, AUTHOR = {Geraschenko, Anton and Satriano, Matthew}, TITLE = {Toric Stacks {I}: The Theory of Stacky Fans}, YEAR = {2011}, EPRINT = {1107.1906}, EPRINTTYPE = {arXiv}, } @ARTICLE{gs_toric2, AUTHOR = {Geraschenko, Anton and Satriano, Matthew}, TITLE = {Toric Stacks {II}: Intrinsic Characterization of Toric Stacks}, YEAR = {2011}, EPRINT = {1107.1907}, EPRINTTYPE = {arXiv}, } @ARTICLE{GibKM, AUTHOR = {Gibney, Angela and Keel, Sean and Morrison, Ian}, TITLE = {Towards the ample cone of moduli spaces of stable curves}, JOURNAL = {J. Amer. Math. Soc.}, VOLUME = {15}, PAGES = {273--294}, YEAR = {2002}, EPRINT = {math/0006208}, } % the TITLE field should be {Towards the ample cone of $\mgn"$, or rather $\mathcal{M}_{g,n}$ @BOOK{Gieseker, AUTHOR = {Gieseker, D.}, TITLE = {Lectures on moduli of curves}, SERIES = {Tata Institute of Fundamental Research Lectures on Mathematics and Physics}, VOLUME = {69}, PUBLISHER = {Published for the Tata Institute of Fundamental Research, Bombay; Springer-Verlag, Berlin-New York}, YEAR = {1982}, PAGES = {iii+99}, } @ARTICLE{giraud, AUTHOR = {Giraud, Jean}, TITLE = {Cohomologie non ab\'elienne}, JOURNAL = {C. R. Acad. Sci. Paris}, VOLUME = {260}, YEAR = {1965}, PAGES = {2666--2668}, } @ARTICLE{Gleason, AUTHOR = {Gleason, Andrew Mattei}, TITLE = {Projective topological spaces}, JOURNAL = {Illinois J. Math.}, VOLUME = {2}, YEAR = {1958}, PAGES = {482--489}, } @BOOK{Godement, AUTHOR = {Godement, Roger}, TITLE = {Topologie alg\'ebrique et th\'eorie des faisceaux}, NOTE = {Troisi{\e}me {\'e}dition revue et corrig{\'e}e, Publications de l'Institut de Math{\'e}matique de l'Universit{\'e} de Strasbourg, {XIII}, Actualit{\'e}s Scientifiques et Industrielles, No. 1252}, PUBLISHER = {Hermann}, ADDRESS = {Paris}, YEAR = {1973}, PAGES = {viii+283}, } @BOOK{SimpHom, AUTHOR = {Goerss, Paul Gregory and Jardine, John Frederick}, TITLE = {Simplicial homotopy theory}, SERIES = {Progress in Mathematics}, VOLUME = {174}, PUBLISHER = {Birkh\"auser Verlag}, ADDRESS = {Basel}, YEAR = {1999}, PAGES = {xvi+510}, } @INCOLLECTION{GE, AUTHOR = {G{\"o}ttsche, Lothar and Ellingsrud, Geir}, TITLE = {Hilbert schemes of points and {H}eisenberg algebras}, BOOKTITLE = {School on Algebraic Geometry ({T}rieste, 1999)}, PUBLISHER = {Abdus Salam Int. Cent. Theoret. Phys.}, YEAR = {2000}, PAGES = {59--100}, } @BOOK{GM, AUTHOR = {Goresky, Mark and MacPherson, Robert}, TITLE = {Stratified {M}orse theory}, PUBLISHER = {Springer-Verlag}, YEAR = {1988}, VOLUME = {14}, SERIES = {Ergebnisse der Mathematik}, } @ARTICLE{GHS, AUTHOR = {Graber, Tom and Harris, Joe and Starr, Jason}, TITLE = {Families of rationally connected varieties}, JOURNAL = {J. Amer. Math. Soc.}, VOLUME = {16}, YEAR = {2003}, PAGES = {57--67}, } @UNPUBLISHED{GHS2, AUTHOR = {Graber, Tom and Harris, Joe and Starr, Jason}, TITLE = {A note on {H}urwitz schemes of covers of a positive genus curve}, NOTE = {preprint}, YEAR = {2002}, EPRINT = {math/0205056}, } @UNPUBLISHED{GHMS, AUTHOR = {Graber, Tom and Harris, Joe and Mazur, Barry and Starr, Jason}, TITLE = {Rational connectivity and sections of families over curves}, YEAR = {2002}, NOTE = {submitted Ann. Sci. Ecole Norm. Sup.}, EPRINT = {math/0210225}, EPRINTTYPE = {arXiv}, } @INCOLLECTION{GHMS2, AUTHOR = {Graber, Tom and Harris, Joe and Mazur, Barry and Starr, Jason}, TITLE = {Arithmetic questions related to rationally connected varieties}, BOOKTITLE = {The legacy of {N}iels {H}enrik {A}bel, {T}he {A}bel {B}icentennial, {O}slo 2002}, PAGES = {531--542}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {2004}, } @INCOLLECTION{GHMS3, AUTHOR = {Graber, Tom and Harris, Joseph and Mazur, Barry and Starr, Jason}, TITLE = {Jumps in {M}ordell-{W}eil rank and arithmetic surjectivity}, BOOKTITLE = {Arithmetic of higher-dimensional algebraic varieties (Palo Alto, CA, 2002)}, SERIES = {Progr. Math.}, VOLUME = {226}, PAGES = {141--147}, PUBLISHER = {Birkh\"auser Boston}, ADDRESS = {Boston, MA}, YEAR = {2004}, } % concerning AUTHOR, use Harris, Joe or Joseph? @ARTICLE{Gray, AUTHOR = {Gray, John W.}, TITLE = {Sheaves with values in a category}, JOURNAL = {Topology}, VOLUME = {3}, YEAR = {1965}, PAGES = {1--18}, } @ARTICLE{Greco, AUTHOR = {Greco, Silvio}, TITLE = {Two theorems on excellent rings}, JOURNAL = {Nagoya Math. J.}, FJOURNAL = {Nagoya Mathematical Journal}, VOLUME = {60}, YEAR = {1976}, PAGES = {139--149}, } @ARTICLE{Greenlees-May, AUTHOR = {Greenlees, John Patrick Campbell and May, Jon Peter}, TITLE = {Derived functors of {$I$}-adic completion and local homology}, JOURNAL = {J. Algebra}, VOLUME = {149}, YEAR = {1992}, NUMBER = {2}, PAGES = {438--453}, } @ARTICLE{P2, AUTHOR = {Griffiths, Phillip August}, TITLE = {Periods of Integrals on Algebraic Manifolds, {II}}, JOURNAL = {American Journal of Mathematics}, YEAR = {1968}, VOLUME = {90}, PAGES = {805--865}, } @ARTICLE{GR, AUTHOR = {Griffiths, Phillip August}, TITLE = {On the Periods of Certain Rational Integrals, {I}}, JOURNAL = {Annals of Mathematics}, YEAR = {1969}, VOLUME = {90}, PAGES = {496-541}, } @INCOLLECTION{VHS, AUTHOR = {Griffiths, Phillip August}, TITLE = {Variations of {H}odge structure}, BOOKTITLE = {Topics in Transcendental Algebraic Geometry}, PUBLISHER = {Annals of Mathematics}, YEAR = {1984}, VOLUME = {106}, SERIES = {Annals of Mathematics Studies}, CHAPTER = {1}, } @BOOK{GH, AUTHOR = {Griffiths, Phillip August and Harris, Joseph}, TITLE = {Principles of Algebraic Geometry}, PUBLISHER = {John Wiley and Sons}, YEAR = {1978}, SERIES = {Pure and Applied Mathematics}, } @INCOLLECTION{Gr-I, AUTHOR = {Grothendieck, Alexander}, TITLE = {Technique de descente et th\'eor\emes d'existence en g\'eometrie alg\'ebrique. {I}. {G}\'en\'eralit\'es. {D}escente par morphismes fid\element plats}, BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 5}, PAGES = {299--327}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1995}, } @INCOLLECTION{Gr-II, AUTHOR = {Grothendieck, Alexander}, TITLE = {Technique de descente et th\'eor\emes d'existence en g\'eom\'etrie alg\'ebrique. {II}. {L}e th\'eor\eme d'existence en th\'eorie formelle des modules}, BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 5}, PAGES = {369--390}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1995}, } @INCOLLECTION{Gr-III, AUTHOR = {Grothendieck, Alexander}, TITLE = {Techniques de construction et th\'eor\emes d'existence en g\'eom\'etrie alg\'ebrique. {III}. {P}r\'eschemas quotients}, BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 6}, PAGES = {99--118}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1995}, } @INCOLLECTION{Gr-IV, AUTHOR = {Grothendieck, Alexander}, TITLE = {Techniques de construction et th\'eor\emes d'existence en g\'eom\'etrie alg\'ebrique. {IV}. {L}es sch\'emas de {H}ilbert}, BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 6}, PAGES = {249--276}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1995}, } @INCOLLECTION{Gr-V, AUTHOR = {Grothendieck, Alexander}, TITLE = {Technique de descente et th\'eor\emes d'existence en g\'eom\'etrie alg\'ebrique. {V}. {L}es sch\'emas de {P}icard: th\'eor\emes d'existence}, BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 7}, PAGES = {143--161}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1995}, } @INCOLLECTION{Gr-VI, AUTHOR = {Grothendieck, Alexander}, TITLE = {Technique de descente et th\'eor\emes d'existence en g\'eom\'etrie alg\'ebrique. {VI}. {L}es sch\'emas de {P}icard: propri\'et\'es g\'en\'erales}, BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 7}, PAGES = {221--243}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1995}, } @ARTICLE{Tohoku, AUTHOR = {Grothendieck, Alexander}, TITLE = {Sur quelques points d'alg\'ebre homologique}, JOURNAL = {Tohoku Mathematical Journal}, VOLUME = {9}, YEAR = {1957}, PAGES = {119-221}, } @BOOK{EGA1, AUTHOR = {Grothendieck, Alexander and Dieudonn{\'e}, Jean}, TITLE = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {I}}, PUBLISHER = {Institute des {H}autes {\'E}tudes {S}cientifiques.}, YEAR = {1960}, SERIES = {Publications {M}ath{\'e}matiques}, VOLUME = {4}, } % yet again some EGAs % decide how to cite these, the current use of AUTHOR isn't correct in my opinion @BOOK{EGA1-second, AUTHOR = {Grothendieck, Alexander and Dieudonn{\'e}, Jean}, TITLE = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {I}}, PUBLISHER = {Springer-Verlag}, YEAR = {1971}, SERIES = {Grundlehren der Mathematischen Wissenschaften}, VOLUME = {166}, } @BOOK{EGA2, AUTHOR = {Grothendieck, Alexander and Dieudonn{\'e}, Jean}, TITLE = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {II}}, PUBLISHER = {Institute des {H}autes {\'E}tudes {S}cientifiques.}, YEAR = {1961}, SERIES = {Publications {M}ath{\'e}matiques}, VOLUME = {8}, } @BOOK{EGA3, AUTHOR = {Grothendieck, Alexander and Dieudonn{\'e}, Jean}, TITLE = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {III}}, PUBLISHER = {Institute des {H}autes {\'E}tudes {S}cientifiques.}, YEAR = {1961--1963}, SERIES = {Publications {M}ath{\'e}matiques}, VOLUME = {11, 17}, } % split this up, see other EGA comments @BOOK{EGA4, AUTHOR = {Grothendieck, Alexander and Dieudonn{\'e}, Jean}, TITLE = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {IV}}, PUBLISHER = {Institute des {H}autes {\'E}tudes {S}cientifiques.}, YEAR = {1964-1967}, SERIES = {Publications {M}ath{\'e}matiques}, VOLUME = {20, 24, 28, 32}, } % split this up, see other EGA comments @BOOK{FGA, AUTHOR = {Grothendieck, Alexander}, TITLE = {Fondements de la g{\'e}om{\'e}trie alg{\'e}brique}, PUBLISHER = {Secr{\'e}tariat math{\'e}matique}, YEAR = {1962}, } % see above, we already have the FGA's there @BOOK{SGA1, AUTHOR = {Grothendieck, Alexander}, TITLE = {Rev\^etements \'etales et groupe fondamental (SGA 1)}, PUBLISHER = {Springer-Verlag}, YEAR = {1971}, SERIES = {Lecture notes in mathematics}, VOLUME = {224}, } % decide how to cite SGA, multiple authors, at least mention Mich{\'e}le Raynaud or not, ... @BOOK{SGA2, AUTHOR = {Grothendieck, Alexander}, TITLE = {Cohomologie locale des faisceaux coh{\'e}rents... (SGA 2)}, PUBLISHER = {North-{H}olland {P}ublishing {C}o.}, YEAR = {1968}, SERIES = {Advanced Studies in Pure Mathematics}, VOLUME = {2}, } @BOOK{SGA5, AUTHOR = {Grothendieck, Alexandre}, TITLE = {S{\'e}minaire de g{\'e}om{\'e}trie alg{\'e}brique du Bois-Marie 1965-66, Cohomologie l-adique et fonctions L, SGA5}, SERIES = {Springer Lecture Notes}, VOLUME = {589}, PUBLISHER = {Springer-Verlag}, YEAR = {1977}, PAGES = {xii+484}, } @BOOK{SGA7-I, AUTHOR = {Grothendieck, Alexander and Raynaud, Michel and Rim, Dock Sang}, TITLE = {Groupes de monodromie en g\'eom\'etrie alg\'ebrique. {I}}, SERIES = {Lecture Notes in Mathematics, Vol. 288}, NOTE = {S{\'e}minaire de G{\'e}om{\'e}trie Alg{\'e}brique du Bois-Marie 1967--1969 (SGA 7 I)}, PUBLISHER = {Springer-Verlag}, YEAR = {1972}, PAGES = {viii+523}, } % there are two volums, add the second as well? @BOOK{Grothendieck-Murre, AUTHOR = {Grothendieck, Alexander and Murre, Jacob P.}, TITLE = {The tame fundamental group of a formal neighbourhood of a divisor with normal crossings on a scheme}, SERIES = {Lecture Notes in Mathematics, Vol. 208}, PUBLISHER = {Springer-Verlag, Berlin-New York}, YEAR = {1971}, PAGES = {viii+133}, } @BOOK{GtoS, AUTHOR = {Grothendieck, Alexandre and Serre, Jean-Pierre}, EDITOR = {Colmez, Pierre and Serre, Jean-Pierre}, TITLE = {Correspondance Grothendieck-Serre}, PUBLISHER = {Soci\'et\'e Math. de France}, YEAR = {2001}, } @INCOLLECTION{G, AUTHOR = {Gruson, Laurent}, TITLE = {Dimension homologique des modules plats sur un anneau commutatif noeth\'erien}, BOOKTITLE = {Symposia {M}athematica, {V}ol. {XI} ({C}onvegno di {A}lgebra {C}ommutativa, {INDAM}, {R}ome, 1971)}, PAGES = {243--254}, PUBLISHER = {Academic Press}, ADDRESS = {London}, YEAR = {1973}, } @ARTICLE{GruRay, AUTHOR = {Gruson, Laurent and Raynaud, Michel}, TITLE = {Crit\{e}res de platitude et de projectivit\'{e}}, JOURNAL = {Invent. math.}, VOLUME = {13}, YEAR = {1971}, PAGES = {1--89}, } %%%%%%%%%%%%%%%%%%%%%% H %%%%%%%%%%%%%%%%%%%%%% @ARTICLE{Hall-coherent, AUTHOR = {Hall, Jack}, TITLE = {Openness of versality via coherent functors}, JOURNAL = {J. Reine Angew. Math.}, VOLUME = {722}, YEAR = {2017}, PAGES = {137--182}, URL = {http://dx.doi.org/10.1515/crelle-2014-0057}, } @ARTICLE{Hall-Rydh, AUTHOR = {Hall, Jack and Rydh, David}, TITLE = {General Hilbert stacks and Quot schemes}, YEAR = {2013}, EPRINT = {1306.4118}, EPRINTTYPE = {arXiv}, } @ARTICLE{rydh_axioms, AUTHOR = {Hall, Jack and Rydh, David}, TITLE = {Artin's criteria for algebraicity revisited}, YEAR = {2012}, EPRINT = {1306.4599}, EPRINTTYPE = {arXiv}, } @ARTICLE{Hall-Rydh-Hilbert, AUTHOR = {Hall, Jack and Rydh, David}, TITLE = {The Hilbert stack}, YEAR = {2010}, EPRINT = {1011.5484}, EPRINTTYPE = {arXiv}, } @MISC{HL-P, AUTHOR = {Halpern-Leistner, Daniel and Preygel, Anatoly}, TITLE = {Mapping stacks and categorical notions of properness}, YEAR = {2014}, EPRINT = {1402.3204}, EPRINTTYPE = {arXiv}, } @ARTICLE{HMP, AUTHOR = {Harris, Joe and Mazur, Barry and Pandharipande, Rahul}, TITLE = {Hypersurfaces of low degree}, JOURNAL = {Duke Math. J.}, YEAR = {1998}, VOLUME = {95}, PAGES = {125--160}, } @BOOK{HarrMorr, AUTHOR = {Harris, Joe and Morrison, Ian}, TITLE = {Moduli of curves}, PUBLISHER = {Springer-Verlag}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {187}, YEAR = {1998}, } @ARTICLE{HM, AUTHOR = {Harris, Joe and Mumford, David}, TITLE = {On the {K}odaira dimension of the moduli space of curves}, JOURNAL = {Invent. Math.}, VOLUME = {67}, YEAR = {1982}, PAGES = {23--86}, } @UNPUBLISHED{HRS1, AUTHOR = {Harris, Joseph and Roth, Mike and Starr, Jason}, TITLE = {Curves of Small Degree on Cubic Threefolds}, NOTE = {to appear in Rocky Mountain Journal of Math.}, YEAR = {2002}, EPRINT = {math/0202067}, } @ARTICLE{HRS2, AUTHOR = {Harris, Joe and Roth, Mike and Starr, Jason}, TITLE = {Rational curves on hypersurfaces of low degree}, JOURNAL = {J. Reine Angew. Math.}, FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik}, VOLUME = {571}, YEAR = {2004}, PAGES = {73--106}, } @UNPUBLISHED{HRS3, AUTHOR = {Harris, Joe and Roth, Mike and Starr, Jason}, YEAR = {2002}, TITLE = {{A}bel-{J}acobi maps associated to smooth cubic threefolds}, NOTE = {submitted Journal of Alg. Geom.}, EPRINT = {math/0202080}, } @UNPUBLISHED{HS, AUTHOR = {Harris, Joseph and Starr, Jason}, TITLE = {Rational curves on blow-ups of projective space}, NOTE = {in preparation}, } @ARTICLE{HS2, AUTHOR = {Harris, Joe and Starr, Jason}, TITLE = {Rational curves on hypersurfaces of low degree. {II}}, JOURNAL = {Compos. Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {141}, YEAR = {2005}, NUMBER = {1}, PAGES = {35--92}, ISSN = {0010-437X}, EPRINT = {math/0207257}, EPRINTTYPE = {arXiv}, } @ARTICLE{HarTsch, AUTHOR = {Harris, Joe and Tschinkel, Yuri}, TITLE = {Rational points on quartics}, JOURNAL = {Duke Math. J.}, VOLUME = {104}, YEAR = {2000}, PAGES = {477--500}, } @ARTICLE{Hartshorne-connectedness, AUTHOR = {Hartshorne, Robin}, TITLE = {Complete intersections and connectedness}, JOURNAL = {Amer. J. Math.}, VOLUME = {84}, YEAR = {1962}, PAGES = {497--508}, } @ARTICLE{Hartshorne, AUTHOR = {Hartshorne, Robin}, TITLE = {Coherent functors}, JOURNAL = {Adv. Math.}, VOLUME = {140}, YEAR = {1998}, NUMBER = {1}, PAGES = {44--94}, } @BOOK{H, AUTHOR = {Hartshorne, Robin}, TITLE = {Algebraic Geometry}, PUBLISHER = {Springer-Verlag}, YEAR = {1977}, VOLUME = {52}, SERIES = {Graduate Texts in Mathematics}, } @BOOK{RD, AUTHOR = {Hartshorne, Robin}, TITLE = {Residues and Duality, Lecture notes of a seminar on the work of A. Grothendieck}, YEAR = {1966}, PUBLISHER = {Springer-Verlag}, SERIES = {Lecture Notes in Math.}, VOLUME = {20}, } @ARTICLE{Has, AUTHOR = {Hassett, Brendan}, TITLE = {Special Cubic Fourfolds}, JOURNAL = {Compositio Mathematica}, YEAR = {2000}, VOLUME = {120}, PAGES = {1--23}, } @ARTICLE{Has2, AUTHOR = {Hassett, Brendan}, TITLE = {Some rational cubic fourfolds}, JOURNAL = {Journal of Algebraic Geometry}, VOLUME = {8}, YEAR = {1999}, PAGES = {103--114}, } @ARTICLE{Has3, AUTHOR = {Hassett, Brendan}, TITLE = {Moduli spaces of weighted pointed stable curves}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {173}, YEAR = {2003}, NUMBER = {2}, PAGES = {316--352}, ISSN = {0001-8708}, CODEN = {ADMTA4}, } @ARTICLE{HT03, AUTHOR = {Hassett, Brendan and Tschinkel, Yuri}, TITLE = {Integral points and effective cones of moduli spaces of stable maps}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {120}, YEAR = {2003}, NUMBER = {3}, PAGES = {577--599}, ISSN = {0012-7094}, CODEN = {DUMJAO}, } @ARTICLE{Heinzer-Levy, AUTHOR = {Heinzer, William J. and Levy, Lawrence S.}, TITLE = {Domains of dimension 1 with infinitely many singular maximal ideals}, JOURNAL = {Rocky Mountain J. Math.}, VOLUME = {37}, YEAR = {2007}, NUMBER = {1}, PAGES = {203--214}, URL = {http://dx.doi.org/10.1216/rmjm/1181069326}, } @INCOLLECTION{Heinzer-Rotthaus-Wiegand, AUTHOR = {Heinzer, William and Rotthaus, Christel and Wiegand, Sylvia}, TITLE = {Catenary local rings with geometrically normal formal fibers}, BOOKTITLE = {Algebra, arithmetic and geometry with applications ({W}est {L}afayette, {IN}, 2000)}, PAGES = {497--510}, PUBLISHER = {Springer, Berlin}, YEAR = {2004}, } @ARTICLE{Heitmann-Ogoma, AUTHOR = {Heitmann, Raymond C.}, TITLE = {A noncatenary, normal, local domain}, JOURNAL = {Rocky Mountain J. Math.}, VOLUME = {12}, YEAR = {1982}, NUMBER = {1}, PAGES = {145--148}, URL = {http://dx.doi.org/10.1216/RMJ-1982-12-1-145}, } @ARTICLE{Heitmann-isolated, AUTHOR = {Heitmann, Raymond C.}, TITLE = {Completions of local rings with an isolated singularity}, JOURNAL = {J. Algebra}, VOLUME = {163}, YEAR = {1994}, NUMBER = {2}, PAGES = {538--567}, URL = {http://dx.doi.org/10.1006/jabr.1994.1031}, } @ARTICLE{Heitmann-completion-UFD, AUTHOR = {Heitmann, Raymond C.}, TITLE = {Characterization of completions of unique factorization domains}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {337}, YEAR = {1993}, NUMBER = {1}, PAGES = {379--387}, URL = {http://dx.doi.org/10.2307/2154327}, } @ARTICLE{Hir, AUTHOR = {Hironaka, Heisuke}, TITLE = {Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero. {I}, {II}}, JOURNAL = {Annals of Mathematics}, YEAR = {1964}, VOLUME = {79}, PAGES = {109--326}, } @BOOK{Hirzebruch, AUTHOR = {Hirzebruch, Friedrich}, TITLE = {Topological methods in algebraic geometry}, SERIES = {Classics in Mathematics}, PUBLISHER = {Springer-Verlag, Berlin}, YEAR = {1995}, PAGES = {xii+234}, } @ARTICLE{Hochster, AUTHOR = {Hochster, Melvin}, TITLE = {Prime ideal structure in commutative rings}, JOURNAL = {Trans. Amer. Math. Soc.}, SHORTJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {142}, YEAR = {1969}, PAGES = {43--60}, } @BOOK{Hochster-thesis, AUTHOR = {Hochster, Melvin}, TITLE = {P{RIME} {IDEAL} {STRUCTURE} {IN} {COMMUTATIVE} {RINGS}}, NOTE = {Thesis (Ph.D.)--Princeton University}, PUBLISHER = {ProQuest LLC, Ann Arbor, MI}, YEAR = {1967}, PAGES = {116}, URL = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:6802486}, } @ARTICLE{Hochster-loci, AUTHOR = {Hochster, M.}, TITLE = {Non-openness of loci in {N}oetherian rings}, JOURNAL = {Duke Math. J.}, VOLUME = {40}, YEAR = {1973}, PAGES = {215--219}, } @ARTICLE{HHBigCM, AUTHOR = {Hochster, Melvin and Huneke, Craig}, TITLE = {Infinite integral extensions and big {C}ohen-{M}acaulay algebras}, JOURNAL = {Ann. of Math. (2)}, VOLUME = {135}, YEAR = {1992}, NUMBER = {1}, PAGES = {53--89}, } @ARTICLE{Hollander, AUTHOR = {Hollander, Sharon}, TITLE = {A homotopy theory for stacks}, JOURNAL = {Israel Journal of Mathematics}, YEAR = {2008}, MONTH = {1}, VOLUME = {163}, PAGES = {93--124}, EPRINT = {http://arxiv.org/pdf/math/0110247}, } @ARTICLE{Hoobler-finite, AUTHOR = {Hoobler, Raymond Taylor}, TITLE = {Cohomology in the finite topology and {B}rauer groups}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {42}, YEAR = {1972}, PAGES = {667--679}, ISSN = {0030-8730}, } @INCOLLECTION{Hoobler, AUTHOR = {Hoobler, Raymond Taylor}, TITLE = {When is {${\rm Br}(X)={\rm Br}'(X)$}?}, BOOKTITLE = {Brauer groups in ring theory and algebraic geometry ({W}ilrijk, 1981)}, SERIES = {Lecture Notes in Math.}, VOLUME = {917}, PAGES = {231--244}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1982}, } @ARTICLE{Huber-continuous-valuations, AUTHOR = {Huber, Roland}, TITLE = {Continuous valuations}, JOURNAL = {Math. Z.}, FJOURNAL = {Mathematische Zeitschrift}, VOLUME = {212}, YEAR = {1993}, NUMBER = {3}, PAGES = {455--477}, URL = {http://dx.doi.org/10.1007/BF02571668}, } @ARTICLE{Huber-henselian, AUTHOR = {Huber, Roland}, TITLE = {\'{E}tale cohomology of {H}enselian rings and cohomology of abstract {R}iemann surfaces of fields}, JOURNAL = {Math. Ann.}, VOLUME = {295}, YEAR = {1993}, NUMBER = {4}, PAGES = {703--708}, } @ARTICLE{Hurw, AUTHOR = {Hurwitz, Adolf}, TITLE = {Ueber {R}iemann'sche {F}l{\"a}chen mit gegebenen {V}erzweigungspunkten}, JOURNAL = {Mathematische Annalen}, YEAR = {1891}, VOLUME = {39}, PAGES = {1--61}, } @BOOK{HL, AUTHOR = {Huybrechts, Daniel and Lehn, Manfred}, TITLE = {The geometry of moduli spaces of sheaves}, SERIES = {Aspects of Mathematics, E31}, PUBLISHER = {Friedr. Vieweg \& Sohn, Braunschweig}, YEAR = {1997}, PAGES = {xiv+269}, URL = {http://dx.doi.org/10.1007/978-3-663-11624-0}, } %%%%%%%%%%%%%%%%%%%%%% I %%%%%%%%%%%%%%%%%%%%%% @ARTICLE{Ihara, AUTHOR = {Ihara, Yasutaka}, TITLE = {How many primes decompose completely in an infinite unramified {G}alois extension of a global field?}, JOURNAL = {J. Math. Soc. Japan}, FJOURNAL = {Journal of the Mathematical Society of Japan}, VOLUME = {35}, YEAR = {1983}, NUMBER = {4}, PAGES = {693--709}, } @BOOK{Iitaka, AUTHOR = {Iitaka, Shigeru}, TITLE = {Algebraic geometry. {A}n introduction to birational geometry of algebraic varieties}, PUBLISHER = {Springer-Verlag}, YEAR = {1982}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {76}, } @ARTICLE{AM, AUTHOR = {Iliev, Atanas and Markushevich, Dimitri}, TITLE = {The {A}bel-{J}acobi Map for a Cubic Threefold and Periods of {F}ano Threefolds of Degree 14}, JOURNAL = {Documenta Mathematica}, YEAR = {2000}, VOLUME = {5}, PAGES = {23--47}, EPRINT = {math/9910058}, } @BOOK{cotangent, AUTHOR = {Illusie, Luc}, TITLE = {Complexe cotangent et d\'eformations {I} and {II}}, SERIES = {Lecture Notes in Mathematics, Vol. 239 and 283}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1971/1972}, PAGES = {355 + 304}, } % I think the first part is 355, the second 304, is this the best way to indicate this? % I've come across this book in the library, they are really separate copies and should be treated as such? @BOOK{Traveaux, AUTHOR = {Illusie, Luc and Laszlo, Yves and Orgogozo, Frabice}, TITLE = {Travaux de Gabber sur l\'uniformisation locale et la cohomologie \'etale des sch\'emas quasi-excellents}, SERIES = {Ast\'erisque 363-364}, PUBLISHER = {Publications de la SMF}, YEAR = {2014}, PAGES = {xxiv+619}, } @INCOLLECTION{ItoNak, AUTHOR = {Ito, Yukari and Nakamura, Iku}, TITLE = {Hilbert schemes and simple singularities}, BOOKTITLE = {New trends in algebraic geometry ({W}arwick, 1996)}, PUBLISHER = {Cambridge Univ. Press}, YEAR = {1999}, PAGES = {151--233}, VOLUME = {264}, SERIES = {London Math. Soc. Lecture Notes Ser.}, } @BOOK{Iversen, AUTHOR = {Iversen, Birger}, TITLE = {Cohomology of sheaves}, SERIES = {Universitext}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1986}, PAGES = {xii+464}, ISBN = {3-540-16389-1}, } @ARTICLE{iwanari_toric, AUTHOR = {Iwanari, Isamu}, TITLE = {The category of toric stacks}, JOURNAL = {Compos. Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {145}, YEAR = {2009}, NUMBER = {3}, PAGES = {718--746}, } @ARTICLE{iwanari_chow, AUTHOR = {Iwanari, Isamu}, TITLE = {Integral Chow rings of toric stacks }, JOURNAL = {math.AG/0705.3524}, YEAR = {2007} } %%%%%%%%%%%%%%%%%%%%%% J %%%%%%%%%%%%%%%%%%%%%% @BOOK{JacobsonI, AUTHOR = {Jacobson, Nathan}, TITLE = {Lectures in abstract algebra. {V}ol. {I}}, NOTE = {Basic concepts, Reprint of the 1951 edition, Graduate Texts in Mathematics, No. 30}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1975}, PAGES = {xii+217}, } @BOOK{JacobsonII, AUTHOR = {Jacobson, Nathan}, TITLE = {Lectures in abstract algebra}, NOTE = {Volume {II}: Linear algebra, Reprint of the 1953 edition [Van Nostrand, Toronto, Ont.], Graduate Texts in Mathematics, No. 31}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1975}, PAGES = {xii+280}, } @BOOK{JacobsonIII, AUTHOR = {Jacobson, Nathan}, TITLE = {Lectures in abstract algebra. {V}ol {III}: {T}heory of fields and {G}alois theory}, PUBLISHER = {D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London-New York}, YEAR = {1964}, PAGES = {xi+323}, } @ARTICLE{Jaffe, AUTHOR = {Jaffe, David Benjamin}, TITLE = {Coherent functors, with application to torsion in the Picard group}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {349}, YEAR = {1997}, NUMBER = {2}, PAGES = {481--527}, URL = {http://dx.doi.org/10.1090/S0002-9947-97-01616-4}, } @ARTICLE{janelidze-tholen, AUTHOR = {Janelidze, G. and Tholen, W.}, TITLE = {Facets of descent {III}: Monadic descent for rings and algebras}, JOURNAL = {Appl. Categorical Structures}, NUMBER = {12}, YEAR = {2004}, PAGES = {461--477}, } @ARTICLE{Jannsen, AUTHOR = {Jannsen, Uwe}, TITLE = {Continuous {\'E}tale Cohomology}, JOURNAL = {Math. Ann.}, VOLUME = {280}, YEAR = {1988}, PAGES = {207-245}, } @BOOK{Jech, AUTHOR = {Jech, Thomas}, TITLE = {Set Theory}, PUBLISHER = {Springer}, YEAR = {2002}, SERIES = {Springer Monographs in mathematics}, } % this is not the first edition, 2002 is (on the top of my head) the third, concerns EDITION @ARTICLE{alterations-curves, AUTHOR = {de Jong, A. Johan}, TITLE = {Families of curves and alterations}, JOURNAL = {Ann. Inst. Fourier (Grenoble)}, VOLUME = {47}, YEAR = {1997}, NUMBER = {2}, PAGES = {599--621}, URL = {http://www.numdam.org/item?id=AIF_1997__47_2_599_0}, } @ARTICLE{alterations, AUTHOR = {de Jong, A. J.}, TITLE = {Smoothness, semi-stability and alterations}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {83}, YEAR = {1996}, PAGES = {51--93}, URL = {http://www.numdam.org/item?id=PMIHES_1996__83__51_0}, } @ARTICLE{dJ-crystalline, AUTHOR = {de Jong, Aise Johan}, TITLE = {Crystalline {D}ieudonn\'e module theory via formal and rigid geometry}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {82}, YEAR = {1995}, PAGES = {5--96}, } @ARTICLE{dJ-conjecture, AUTHOR = {de Jong, Aise Johan}, TITLE = {A conjecture on arithmetic fundamental groups}, JOURNAL = {Israel J. Math.}, FJOURNAL = {Israel Journal of Mathematics}, VOLUME = {121}, YEAR = {2001}, PAGES = {61--84}, } @ARTICLE{dJ, AUTHOR = {de Jong, Aise Johan}, TITLE = {The period-index problem for the {B}rauer group of an algebraic surface}, JOURNAL = {Duke Math. J.}, VOLUME = {123}, YEAR = {2004}, PAGES = {71--94}, } @ARTICLE{dJS, AUTHOR = {de Jong, Aise Johan and Starr, Jason}, TITLE = {Every rationally connected variety over the function field of a curve has a rational point}, JOURNAL = {Amer. J. Math.}, VOLUME = {125}, YEAR = {2003}, PAGES = {567--580}, } @ARTICLE{dJS2, AUTHOR = {de Jong, Aise Johan and Starr, Jason}, TITLE = {Cubic fourfolds and spaces of rational curves}, JOURNAL = {Illinois J. Math.}, VOLUME = {48}, YEAR = {2004}, PAGES = {415--450}, } @UNPUBLISHED{dJS3, AUTHOR = {de Jong, Aise Johan and Starr, Jason}, YEAR = {2005}, TITLE = {Divisor classes and the virtual canonical bundle}, NOTE = {preprint}, URL = {http://www-math.mit.edu/~jstarr/papers/index.html}, } @BOOK{Jou, AUTHOR = {Jouanolou, Jean-Pierre}, TITLE = {Th\'{e}or\{e}mes de {B}ertini et Applications}, PUBLISHER = {Birkh{\"{a}}user}, YEAR = {1983}, SERIES = {Progess in Mathematics}, VOLUME = {42}, } @ARTICLE{joyal-tierney, AUTHOR = {Joyal, Andr{\'e} and Tierney, Myles}, TITLE = {An extension of the {G}alois theory of {G}rothendieck}, JOURNAL = {Mem. Amer. Math. Soc.}, VOLUME = {51}, YEAR = {1984}, NUMBER = {309}, PAGES = {vii+71}, } @ARTICLE{Joyet, AUTHOR = {Joyet, Pierre}, TITLE = {Pouleb\eques de modules quasi-coh\'erents}, JOURNAL = {Comm. Algebra}, VOLUME = {24}, YEAR = {1996}, NUMBER = {3}, PAGES = {1035--1049}, URL = {http://dx.doi.org/10.1080/00927879608825619}, } %%%%%%%%%%%%%%%%%%%%%% K %%%%%%%%%%%%%%%%%%%%%% @ARTICLE{Kabele, AUTHOR = {Kabele, Thomas}, TITLE = {Regularity conditions in nonnoetherian rings}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {155}, YEAR = {1971}, PAGES = {363--374}, } @UNPUBLISHED{Kanev, AUTHOR = {Kanev, Vassil}, YEAR = {2004}, TITLE = {Irreducibility of {H}urwitz spaces}, NOTE = {Preprint N. 241, Feb. 2004, Dipartimento di Math., Univ. di Palermo.}, } @ARTICLE{Kap, AUTHOR = {Kapranov, Mikhail M.}, TITLE = {Veronese curves and {G}rothendieck-{K}nudsen moduli space {$\overline{M}_{0,n}$}}, JOURNAL = {J. Algebraic Geom.}, FJOURNAL = {Journal of Algebraic Geometry}, VOLUME = {2}, YEAR = {1993}, NUMBER = {2}, PAGES = {239--262}, } @ARTICLE{Kaplansky, AUTHOR = {Kaplansky, Irving}, TITLE = {Projective modules}, JOURNAL = {Ann. of Math (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {68}, YEAR = {1958}, PAGES = {372--377}, } @BOOK{KS, AUTHOR = {Kashiwara, Masaki and Schapira, Pierre}, TITLE = {Categories and sheaves}, SERIES = {Grundlehren der Mathematischen Wissenschaften}, VOLUME = {332}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {2006}, PAGES = {x+497}, } @ARTICLE{Kato-Milnor-K, AUTHOR = {Kato, Kazuya}, TITLE = {Milnor {$K$}-theory and the {C}how group of zero cycles}, BOOKTITLE = {Applications of algebraic {$K$}-theory to algebraic geometry and number theory, {P}art {I}, {II} ({B}oulder, {C}olo., 1983)}, SERIES = {Contemp. Math.}, VOLUME = {55}, PAGES = {241--253}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1986}, URL = {http://dx.doi.org/10.1090/conm/055.1/862638}, } @BOOK{KatzMazur, AUTHOR = {Katz, Nicholas Michael and Mazur, Barry}, TITLE = {Arithmetic moduli of elliptic curves}, SERIES = {Annals of Mathematics Studies}, VOLUME = {108}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {1985}, PAGES = {xiv+514}, } @ARTICLE{Kausz, AUTHOR = {Ivan Kausz, Ivan}, TITLE = {A modular compactification of the general linear group}, JOURNAL = {Doc. math.}, YEAR = {2000}, VOLUME = {5}, PAGES = {553--594}, } @ARTICLE{Kaw, AUTHOR = {Kawamata, Yujiro}, TITLE = {Kodaira dimension of certain algebraic fiber spaces}, JOURNAL = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.}, YEAR = {1983}, VOLUME = {1}, PAGES = {1--24}, } @INCOLLECTION{Kaw97, AUTHOR = {Kawamata, Yujiro}, TITLE = {Subadjunction of log canonical divisors for a subvariety of codimension {$2$}}, BOOKTITLE = {Birational algebraic geometry (Baltimore, MD, 1996)}, SERIES = {Contemp. Math.}, VOLUME = {207}, PAGES = {79--88}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {1997}, } @ARTICLE{Kawasaki, AUTHOR = {Kawasaki, Takesi}, TITLE = {On arithmetic {M}acaulayfication of {N}oetherian rings}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {354}, YEAR = {2002}, NUMBER = {1}, PAGES = {123--149 (electronic)}, URL = {http://dx.doi.org/10.1090/S0002-9947-01-02817-3}, } @BOOK{Kedlaya-Liu-I, AUTHOR = {Kedlaya, Kiran and Liu, Ruochuan}, TITLE = {Relative {$p$}-adic Hodge theory, I: Foundations}, SERIES = {Ast{\'e}risque}, VOLUME = {371}, YEAR = {2015}, PAGES = {239}, } @UNPUBLISHED{Keel-McK, AUTHOR = {Keel, Sean and McKernan, James}, YEAR = {1996}, TITLE = {Contractible extremal rays on {$\overline{M}_{0,n}$}}, NOTE = {preprint}, EPRINT = {alg-geom/9607009}, } @ARTICLE{Keel, AUTHOR = {Keel, Sean}, TITLE = {Intersection theory of moduli space of stable {$n$}-pointed curves of genus zero}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {330}, YEAR = {1992}, NUMBER = {2}, PAGES = {545--574}, } @ARTICLE{K-M, AUTHOR = {Keel, Sean and Mori, Shigefumi}, TITLE = {Quotients by Groupoids}, JOURNAL = {Ann. of Math. (2)}, YEAR = {1997}, VOLUME = {145}, PAGES = {193--213}, } @INCOLLECTION{Keller-survey, AUTHOR = {Keller, Bernhard}, TITLE = {On differential graded categories}, BOOKTITLE = {International {C}ongress of {M}athematicians. {V}ol. {II}}, PAGES = {151--190}, PUBLISHER = {Eur. Math. Soc., Z\"urich}, YEAR = {2006}, } @ARTICLE{Keller-Deriving, AUTHOR = {Keller, Bernhard}, TITLE = {Deriving {DG} categories}, JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)}, VOLUME = {27}, YEAR = {1994}, NUMBER = {1}, PAGES = {63--102}, } @ARTICLE{Keller, AUTHOR = {Keller, Bernhard}, TITLE = {Chain complexes and stable categories}, JOURNAL = {Manuscripta Math.}, FJOURNAL = {Manuscripta Mathematica}, VOLUME = {67}, YEAR = {1990}, NUMBER = {4}, PAGES = {379--417}, } @INCOLLECTION{kelly-street, AUTHOR = {Kelly, Gregory Maxwell and Street, Ross}, TITLE = {Review of the elements of {$2$}-categories}, BOOKTITLE = {Category {S}eminar ({P}roc. {S}em., {S}ydney, 1972/1973)}, PAGES = {75--103}, PUBLISHER = {Springer}, ADDRESS = {Berlin}, YEAR = {1974}, } @ARTICLE{Kempf, AUTHOR = {Kempf, George Rushing}, TITLE = {Pulling back bundles}, JOURNAL = {Pacific J. Math.}, FJOURNAL = {Pacific Journal of Mathematics}, VOLUME = {152}, YEAR = {1992}, NUMBER = {2}, PAGES = {319--322}, ISSN = {0030-8730}, } @ARTICLE{Kerz-Schmidt, AUTHOR = {Kerz, Moritz and Schmidt, Alexander}, TITLE = {On different notions of tameness in arithmetic geometry}, JOURNAL = {Math. Ann.}, VOLUME = {346}, YEAR = {2010}, NUMBER = {3}, PAGES = {641--668}, URL = {http://dx.doi.org/10.1007/s00208-009-0409-6}, } @ARTICLE{Kiehl, AUTHOR = {Kiehl, Reinhardt}, TITLE = {Ein {D}escente''-{L}emma und {G}rothendiecks {P}rojektionssatz f\"ur nichtnoethersche {S}chemata}, JOURNAL = {Math. Ann.}, VOLUME = {198}, YEAR = {1972}, PAGES = {287--316}, } @INCOLLECTION{KP, AUTHOR = {Kim, Bumsig and Pandharipande, Rahul}, TITLE = {The connectedness of the moduli space of maps to homogeneous spaces}, BOOKTITLE = {Symplectic geometry and mirror symmetry}, PUBLISHER = {World Scientific}, YEAR = {2001}, CHAPTER = {5}, EPRINT = {math/0003168}, } @ARTICLE{misconceptions, AUTHOR = {Kleiman, Steven Lawrence}, TITLE = {Misconceptions about {$K_X$}}, JOURNAL = {Enseign. Math. (2)}, FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. {II}e S\'erie}, VOLUME = {25}, YEAR = {1979}, NUMBER = {3-4}, PAGES = {203--206}, } % the PAGES field contained (1980) @INCOLLECTION{Kleiman-Picard, AUTHOR = {Kleiman, Steven L.}, TITLE = {The {P}icard scheme}, BOOKTITLE = {Fundamental algebraic geometry}, SERIES = {Math. Surveys Monogr.}, VOLUME = {123}, PAGES = {235--321}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {2005}, } @INCOLLECTION{Klu, AUTHOR = {Kluitmann, Paul}, TITLE = {Hurwitz actions and finite quotients of braid groups}, BOOKTITLE = {Braids ({S}anta {C}ruz, {CA}, 1986)}, PUBLISHER = {American Mathematical Society}, YEAR = {1988}, PAGES = {299--325}, CITY = {Providence, {RI}}, } @ARTICLE{Knudsen, AUTHOR = {Knudsen, Finn Faye}, TITLE = {Determinant functors on exact categories and their extensions to categories of bounded complexes}, JOURNAL = {Michigan Math. J.}, FJOURNAL = {The Michigan Mathematical Journal}, VOLUME = {50}, YEAR = {2002}, NUMBER = {2}, PAGES = {407--444}, } @ARTICLE{determinant, AUTHOR = {Knudsen, Finn Faye and Mumford, David}, TITLE = {The projectivity of the moduli space of stable curves, {I}. {P}reliminaries on det'' and {D}iv''}, JOURNAL = {Math. Scand.}, FJOURNAL = {Mathematica Scandinavica}, VOLUME = {39}, YEAR = {1976}, NUMBER = {1}, PAGES = {19--55}, } @BOOK{Knuth, AUTHOR = {Knuth, Donald Ervin}, TITLE = {Tau {E}psilon {C}hi, a system for technical text}, NOTE = {Revised version of Stanford Computer Science report number STAN-CS-78-675}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, R.I.}, YEAR = {1979}, PAGES = {200}, ISBN = {0-8218-0209-7}, } @BOOK{Kn, AUTHOR = {Knutson, Donald}, TITLE = {Algebraic spaces}, PUBLISHER = {Springer-Verlag}, YEAR = {1971}, VOLUME = {203}, SERIES = {Lecture Notes in Mathematics}, } @BOOK{K, AUTHOR = {Koll{\'a}r, J{\'a}nos}, TITLE = {Rational Curves on Algebraic Varieties}, PUBLISHER = {Springer-Verlag}, YEAR = {1996}, VOLUME = {32}, SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge}, } @BOOK{K+92, AUTHOR = {Koll{\'a}r, J{\'a}nos and others}, TITLE = {Flips and Abundance for Algebraic Threefolds}, VOLUME = {211}, SERIES = {Ast{\'e}risque}, YEAR = {1993}, PUBLISHER = {Soc. Math. de France}, } % make this look more like conference proceedings? @ARTICLE{KollarQuotients, AUTHOR = {Koll{\'a}r, J{\'a}nos}, TITLE = {Quotient spaces modulo algebraic groups}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {145}, YEAR = {1997}, NUMBER = {1}, PAGES = {33--79}, } @MISC{KollarFinite, AUTHOR = {Koll{\'a}r, J{\'a}nos}, TITLE = {Quotients by finite equivalence relations}, YEAR = {2008}, EPRINT = {0812.3608}, EPRINTTYPE = {arXiv}, } @ARTICLE{KollarSimple, AUTHOR = {Koll{\'a}r, J{\'a}nos}, TITLE = {Which are the simplest algebraic varieties{?}}, JOURNAL = {Bull. Amer. Math. Soc.}, YEAR = {2001}, VOLUME = {38}, PAGES = {409-433}, } @INCOLLECTION{KollarPairs, AUTHOR = {Koll{\'a}r, J{\'a}nos}, TITLE = {Singularities of pairs}, BOOKTITLE = {Algebraic Geometry, {S}anta {C}ruz 1995}, PUBLISHER = {Amer. Math. Soc.}, YEAR = {1997}, VOLUME = {62, Part {I}}, SERIES = {Proc. Sympos. Pure Math.}, PAGES = {221--287}, } @ARTICLE{KMM, AUTHOR = {Koll{\'a}r, J{\'a}nos and Miyaoka, Yoichi and Mori, Shigefumi}, TITLE = {Rationally connected varieties}, JOURNAL = {Journal of Algebraic Geometry}, YEAR = {1992}, VOLUME = {1}, PAGES = {429--448}, } @ARTICLE{KMM92c, AUTHOR = {Koll{\'a}r, J{\'a}nos and Miyaoka, Yoichi and Mori, Shigefumi}, TITLE = {Rational connectedness and boundedness of {F}ano manifolds}, JOURNAL = {Journal of Diff. Geom.}, YEAR = {1992}, VOLUME = {36}, PAGES = {765--769}, } @BOOK{KM, AUTHOR = {Koll{\'a}r, J{\'a}nos and Mori, Shigefumi}, TITLE = {Birational Geometry of Algebraic Varieties}, PUBLISHER = {Cambridge University Press}, YEAR = {1998}, VOLUME = {134}, SERIES = {Cambrige Tracts in Mathematics}, } @BOOK{KZ, AUTHOR = {K{\"o}nig, Steffen and Zimmermann, Alexander}, TITLE = {Derived equivalences for group rings}, SERIES = {Lecture Notes in Mathematics}, VOLUME = {1685}, NOTE = {With contributions by Bernhard Keller, Markus Linckelmann, Jeremy Rickard and Rapha{\"e}l Rouquier}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin}, YEAR = {1998}, PAGES = {x+246}, } @INCOLLECTION{Kv, AUTHOR = {Kontsevich, Maxim}, TITLE = {Enumeration of rational curves via torus actions}, BOOKTITLE = {The moduli space of curves}, PUBLISHER = {Birkh{\"a}user}, YEAR = {1995}, PAGES = {335--368}, EPRINT = {hep-th/9405035}, } @ARTICLE{kresch_cycle, AUTHOR = {Kresch, Andrew}, TITLE = {Cycle groups for {A}rtin stacks}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {138}, YEAR = {1999}, NUMBER = {3}, PAGES = {495--536}, } @INCOLLECTION{kresch_geometry, AUTHOR = {Kresch, Andrew}, TITLE = {On the geometry of {D}eligne-{M}umford stacks}, BOOKTITLE = {Algebraic geometry---{S}eattle 2005. {P}art 1}, SERIES = {Proc. Sympos. Pure Math.}, VOLUME = {80}, PAGES = {259--271}, PUBLISHER = {Amer. Math. Soc.}, ADDRESS = {Providence, RI}, YEAR = {2009}, } @ARTICLE{kresch-vistoli, AUTHOR = {Kresch, Andrew and Vistoli, Angelo}, TITLE = {On coverings of {D}eligne-{M}umford stacks and surjectivity of the {B}rauer map}, JOURNAL = {Bull. London Math. Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = {36}, YEAR = {2004}, NUMBER = {2}, PAGES = {188--192}, } @ARTICLE{Krull, AUTHOR = {Krull, Wolfgang}, TITLE = {Allgemeine Bewertungstheorie}, JOURNAL = {J. reine angew. Math}, YEAR = {1932}, VOLUME = {167}, PAGES = {160--196}, } @ARTICLE{Kuhlmann, AUTHOR = {Kuhlmann, Franz-Viktor}, TITLE = {A correction to: {E}limination of wild ramification'' [{I}nvent. {M}ath. {\bf 19} (1973), 235--249; {MR}0321929 (48 \#294)] by {H}. {P}. {E}pp}, JOURNAL = {Invent. Math.}, VOLUME = {153}, YEAR = {2003}, NUMBER = {3}, PAGES = {679--681}, } @BOOK{Kunen, AUTHOR = {Kunen, Kenneth}, TITLE = {Set Theory}, PUBLISHER = {Elsevier Science}, YEAR = {1983}, } @BOOK{Kunz, AUTHOR = {Kunz, Ernst}, TITLE = {K\"ahler differentials}, SERIES = {Advanced Lectures in Mathematics}, PUBLISHER = {Friedr. Vieweg \& Sohn, Braunschweig}, YEAR = {1986}, PAGES = {viii+402}, URL = {http://dx.doi.org/10.1007/978-3-663-14074-0}, } %%%%%%%%%%%%%%%%%%%%%% L %%%%%%%%%%%%%%%%%%%%%% @ARTICLE{Lafforgue, AUTHOR = {Lafforgue, Laurent}, TITLE = {Chtoucas de {D}rinfeld et correspondance de {L}anglands}, JOURNAL = {Invent. Math.}, VOLUME = {147}, YEAR = {2002}, PAGES = {1--241}, } @ARTICLE{Lafon, AUTHOR = {Lafon, Guillaume}, TITLE = {Une surface d'{E}nriques sans point sur {$\mathbb{C}((t))$}}, JOURNAL = {C. R. Math. Acad. Sci. Paris}, FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris}, VOLUME = {338}, YEAR = {2004}, NUMBER = {1}, PAGES = {51--54}, } @BOOK{Lam, AUTHOR = {Lam, Tsit Yuen}, TITLE = {Lectures on modules and rings}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {189}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {1999}, PAGES = {xxiv+557}, } @ARTICLE{Lam-Reyes, AUTHOR = {Lam, Tsit Yuen and Reyes, Manuel Lionel}, TITLE = {A prime ideal principle in commutative algebra}, YEAR = {2008}, JOURNAL = {Journal of Algebra}, VOLUME = {319}, NUMBER = {7}, PAGES = {3006--3027}, } @BOOK{LM-B, AUTHOR = {Laumon, G{\'e}rard and Moret-Bailly, Laurent}, TITLE = {Champs alg{\'e}briques}, PUBLISHER = {Springer-Verlag}, YEAR = {2000}, VOLUME = {39}, SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge.}, } @BOOK{Lang, AUTHOR = {Lang, Serge}, TITLE = {Algebra}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {211}, EDITION = {third}, PUBLISHER = {Springer-Verlag}, ADDRESS = {New York}, YEAR = {2002}, PAGES = {xvi+914}, } @BOOK{LangAbelianVarieties, AUTHOR = {Lang, Serge}, TITLE = {Abelian Varieties}, PUBLISHER = {Springer-Verlag}, YEAR = {1983}, } @ARTICLE{Lang52, AUTHOR = {Lang, Serge}, TITLE = {On quasi-algebraic closure}, JOURNAL = {Ann. Math.}, YEAR = {1952}, VOLUME = {55}, PAGES = {373-390}, } @ARTICLE{LW, AUTHOR = {Lang, Serge and Weil, Andr{\'e}}, TITLE = {Number of points of varieties in finite fields}, JOURNAL = {Amer. J. Math.}, VOLUME = {76}, YEAR = {1954}, PAGES = {819--827}, } @ARTICLE{Lazard, AUTHOR = {Lazard, Daniel}, TITLE = {Disconnexit\'es des spectres d'anneaux et des pr\'esch\'emas}, JOURNAL = {Bull. Soc. Math. France}, VOLUME = {95}, YEAR = {1967}, PAGES = {95--108}, } @ARTICLE{Autour, AUTHOR = {Lazard, Daniel}, TITLE = {Autour de la platitude}, JOURNAL = {Bull. Soc. Math. France}, VOLUME = {97}, YEAR = {1969}, PAGES = {81--128}, } @INCOLLECTION{Lazard-deux, AUTHOR = {Lazard, Daniel}, TITLE = {Deux m{\'e}chants {\'e}pimorphisms}, BOOKTITLE = {S\'eminaire d'{A}lg\ebre {C}ommutative dirig\'e par {P}ierre {S}amuel: 1967/1968. {L}es \'epimorphismes d'anneaux}, PUBLISHER = {Secr\'etariat math\'ematique, Paris}, YEAR = {1968}, PAGES = {1--5}, } @INCOLLECTION{Lech, AUTHOR = {Lech, Christer}, TITLE = {A method for constructing bad {N}oetherian local rings}, BOOKTITLE = {Algebra, algebraic topology and their interactions ({S}tockholm, 1983)}, SERIES = {Lecture Notes in Math.}, VOLUME = {1183}, PAGES = {241--247}, PUBLISHER = {Springer, Berlin}, YEAR = {1986}, URL = {http://dx.doi.org/10.1007/BFb0075463}, } @INCOLLECTION{Lech-YAPO, AUTHOR = {Lech, Crister}, TITLE = {Yet another proof of a result by {O}goma}, BOOKTITLE = {Algebra, algebraic topology and their interactions ({S}tockholm, 1983)}, SERIES = {Lecture Notes in Math.}, VOLUME = {1183}, PAGES = {248--249}, PUBLISHER = {Springer, Berlin}, YEAR = {1986}, URL = {http://dx.doi.org/10.1007/BFb0075464}, } @ARTICLE{LLPY, AUTHOR = {Lee, Dan and Leer, Leanne and Pilch, Shara and Yasufuku, Yu}, TITLE = {Characterization of completions of reduced local rings}, JOURNAL = {Proc. Amer. Math. Soc.}, VOLUME = {129}, YEAR = {2001}, NUMBER = {11}, PAGES = {3193--3200}, URL = {http://dx.doi.org/10.1090/S0002-9939-01-05962-7}, } @MISC{Lenstra, AUTHOR = {Lenstra, Hendrik Willem}, TITLE = {Galois theory for schemes}, PAGES = {1--109}, URL = {http://websites.math.leidenuniv.nl/algebra/GSchemes.pdf}, } @ARTICLE{Lichtenbaum-Schlessinger, AUTHOR = {Lichtenbaum, S. and Schlessinger, M.}, TITLE = {The cotangent complex of a morphism}, JOURNAL = {Trans. Amer. Math. Soc.}, VOLUME = {128}, YEAR = {1967}, PAGES = {41--70}, } @ARTICLE{lieblich_remarks, AUTHOR = {Lieblich, Max}, TITLE = {Remarks on the stack of coherent algebras}, JOURNAL = {Int. Math. Res. Not.}, FJOURNAL = {International Mathematics Research Notices}, YEAR = {2006}, } @ARTICLE{lieblich-osserman, AUTHOR = {Lieblich, Max and Osserman, Brian}, TITLE = {Functorial reconstruction theorem for stacks}, JOURNAL = {math.AG/0807.4562}, YEAR = {2008} } @ARTICLE{lieblich_twisted, AUTHOR = {Lieblich, Max}, TITLE = {Moduli of twisted sheaves}, JOURNAL = {Duke Math. J.}, FJOURNAL = {Duke Mathematical Journal}, VOLUME = {138}, YEAR = {2007}, NUMBER = {1}, PAGES = {23--118}, } @ARTICLE{lieblich-complexes, AUTHOR = {Lieblich, Max}, TITLE = {Moduli of complexes on a proper morphism}, JOURNAL = {J. Algebraic Geom.}, VOLUME = {15}, YEAR = {2006}, NUMBER = {1}, PAGES = {175--206}, } @ARTICLE{Lipman-rational, AUTHOR = {Lipman, Joseph}, TITLE = {Rational singularities, with applications to algebraic surfaces and unique factorization}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {36}, YEAR = {1969}, PAGES = {195--279}, } @ARTICLE{Lipman, AUTHOR = {Lipman, Joseph}, TITLE = {Desingularization of two-dimensional schemes}, JOURNAL = {Ann. Math. (2)}, VOLUME = {107}, YEAR = {1978}, NUMBER = {1}, PAGES = {151--207}, } @ARTICLE{LN, AUTHOR = {Lipman, Joseph and Neeman, Amnon}, TITLE = {Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor}, JOURNAL = {Illinois J. Math.}, VOLUME = {51}, YEAR = {2007}, NUMBER = {1}, PAGES = {209--236}, } @INCOLLECTION{Lipman-notes, AUTHOR = {Lipman, Joseph}, TITLE = {Notes on derived functors and {G}rothendieck duality}, BOOKTITLE = {Foundations of {G}rothendieck duality for diagrams of schemes}, SERIES = {Lecture Notes in Math.}, VOLUME = {1960}, PAGES = {1--259}, PUBLISHER = {Springer, Berlin}, YEAR = {2009}, URL = {http://dx.doi.org/10.1007/978-3-540-85420-3}, } @BOOK{Liu, AUTHOR = {Liu, Qing}, TITLE = {Algebraic geometry and arithmetic curves}, SERIES = {Oxford Graduate Texts in Mathematics}, VOLUME = {6}, NOTE = {Translated from the French by Reinie Ern{\'e}, Oxford Science Publications}, PUBLISHER = {Oxford University Press}, ADDRESS = {Oxford}, YEAR = {2002}, PAGES = {xvi+576}, } @ARTICLE{Loepp, AUTHOR = {Loepp, S.}, TITLE = {Characterization of completions of excellent domains of characteristic zero}, JOURNAL = {J. Algebra}, VOLUME = {265}, YEAR = {2003}, NUMBER = {1}, PAGES = {221--228}, URL = {http://dx.doi.org/10.1016/S0021-8693(03)00239-4}, } @ARTICLE{lundkvist-skjelnes, AUTHOR = {Lundkvist, Christian and Skjelnes, Roy}, TITLE = {Non-effective deformations of {G}rothendieck's {H}ilbert functor}, JOURNAL = {Math. Z.}, FJOURNAL = {Mathematische Zeitschrift}, VOLUME = {258}, YEAR = {2008}, NUMBER = {3}, PAGES = {513--519}, } @MISC{lurie-thesis, AUTHOR = {Lurie, Jacob}, TITLE = {Derived Algebraic Geometry}, YEAR = {2004}, URL = {http://hdl.handle.net/1721.1/30144}, } @BOOK{lurie_topos, AUTHOR = {Lurie, Jacob}, TITLE = {Higher topos theory}, SERIES = {Annals of Mathematics Studies}, VOLUME = {170}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {2009}, PAGES = {xviii+925}, ISBN = {978-0-691-14049-0; 0-691-14049-9}, } @ARTICLE{dag1, AUTHOR = {Lurie, Jacob}, TITLE = {Derived Algebraic Geometry {I}: Stable Infinity Categories}, YEAR = {2009}, URL = {http://www-math.mit.edu/~lurie/papers/DAG-I.pdf}, } @ARTICLE{dag2, AUTHOR = {Lurie, Jacob}, TITLE = {Derived Algebraic Geometry {II}: Noncommutative Algebra}, YEAR = {2009}, URL = {http://www-math.mit.edu/~lurie/papers/DAG-II.pdf}, } @ARTICLE{dag3, AUTHOR = {Lurie, Jacob}, TITLE = {Derived Algebraic Geometry {III}: Commutative Algebra}, YEAR = {2009}, URL = {http://www-math.mit.edu/~lurie/papers/DAG-III.pdf}, } @ARTICLE{dag4, AUTHOR = {Lurie, Jacob}, TITLE = {Derived Algebraic Geometry {IV}: Deformation Theory}, YEAR = {2009}, URL = {http://www-math.mit.edu/~lurie/papers/DAG-IV.pdf}, } @ARTICLE{dag5, AUTHOR = {Lurie, Jacob}, TITLE = {Derived Algebraic Geometry {V}: Structured Spaces}, YEAR = {2009}, URL = {http://www-math.mit.edu/~lurie/papers/DAG-V.pdf}, } @ARTICLE{dag12, AUTHOR = {Lurie, Jacob}, TITLE = {Derived Algebraic Geometry {XII}: Proper Morphisms, Completions, and the Grothendieck Existence Theorem}, YEAR = {2011}, URL = {http://www-math.mit.edu/~lurie/papers/DAG-XII.pdf}, } % continue with the DAG series? it goes all the way to XIV for now @ARTICLE{Lutkebohmert, AUTHOR = {L{\"u}tkebohmert, W.}, TITLE = {On compactification of schemes}, JOURNAL = {Manuscripta Math.}, VOLUME = {80}, YEAR = {1993}, NUMBER = {1}, PAGES = {95--111}, URL = {http://dx.doi.org/10.1007/BF03026540}, } %%%%%%%%%%%%%%%%%%%%%% M %%%%%%%%%%%%%%%%%%%%%% @BOOK{Maclane, AUTHOR = {Mac Lane, Saunders}, TITLE = {Homology}, SERIES = {Die Grundlehren der mathematischen Wissenschaften, Bd. 114}, PUBLISHER = {Academic Press Inc.}, ADDRESS = {Publishers, New York}, YEAR = {1963}, PAGES = {x+422}, } @ARTICLE{Mattuck, AUTHOR = {Mattuck, Arthur}, TITLE = {Complete ideals and monoidal transforms}, JOURNAL = {Proc. Amer. Math. Soc.}, VOLUME = {26}, YEAR = {1970}, PAGES = {555--560}, } @ARTICLE{Mazet, AUTHOR = {Mazet, Pierre}, TITLE = {G\'en\'erateurs, relations et \'epimorphismes d'anneaux}, JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B}, VOLUME = {266}, YEAR = {1968}, } % maybe the paper Caract\'erisation des \'epimorphismes par relations et g\'en\'erateurs is meant? @BOOK{McCleary, AUTHOR = {McCleary, John}, TITLE = {A user's guide to spectral sequences}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {58}, EDITION = {Second}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {2001}, PAGES = {xvi+561}, ISBN = {0-521-56759-9}, } @ARTICLE{MP98, AUTHOR = {Mac{P}herson, Robert and Procesi, Claudio}, TITLE = {Making conical compactifications wonderful}, JOURNAL = {Selecta Math. (N. S.)}, VOLUME = {4}, YEAR = {1998}, PAGES = {125--139}, } @INCOLLECTION{McQuillan, AUTHOR = {McQuillan, Michael}, TITLE = {Formal formal schemes}, BOOKTITLE = {Topology and geometry: commemorating {SISTAG}}, SERIES = {Contemp. Math.}, VOLUME = {314}, PAGES = {187--198}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {2002}, URL = {http://dx.doi.org/10.1090/conm/314/05431}, } @ARTICLE{MT, AUTHOR = {Markushevich, Dimitri and Tikhimirov, Alexander}, TITLE = {The {A}bel-{J}acobi Map of a Moduli Component of Vector Bundles on the Cubic Threefold}, JOURNAL = {Journal of Algebraic Geometry}, YEAR = {2001}, VOLUME = {10}, PAGES = {37--62}, } @ARTICLE{Matlis, AUTHOR = {Matlis, Eben}, TITLE = {The higher properties of {$R$}-sequences}, JOURNAL = {J. Algebra}, VOLUME = {50}, YEAR = {1978}, NUMBER = {1}, PAGES = {77--112}, URL = {http://dx.doi.org/10.1016/0021-8693(78)90176-X}, } @BOOK{Matsuki, AUTHOR = {Matsuki, Kenji}, TITLE = {Introduction to the {M}ori program}, PUBLISHER = {Springer-Verlag}, YEAR = {2002}, SERIES = {Universitext}, } @BOOK{MatCA, AUTHOR = {Matsumura, Hideyuki}, TITLE = {Commutative Algebra}, PUBLISHER = {W. A. Benjamin, Inc.}, YEAR = {1970}, } @BOOK{Ma, AUTHOR = {Matsumura, Hideyuki}, TITLE = {Commutative ring theory}, PUBLISHER = {Cambridge University Press}, YEAR = {1986}, VOLUME = {8}, SERIES = {Cambridge studies in advanced mathematics}, } @ARTICLE{Mazur-Roberts, AUTHOR = {Mazur, B. and Roberts, L.}, TITLE = {Local {E}uler characteristics}, JOURNAL = {Invent. Math.}, VOLUME = {9}, YEAR = {1969/1970}, PAGES = {201--234}, } @ARTICLE{mesablishvili1, AUTHOR = {Mesablishvili, Bachuki}, TITLE = {Pure morphisms of commutative rings are effective descent morphisms for modules---a new proof}, JOURNAL = {Theory Appl. Categ.}, VOLUME = {7}, NUMBER = {3}, YEAR = {2000}, PAGES = {38--42}, } @ARTICLE{mesablishvili2, AUTHOR = {Mesablishvili, Bachuki}, TITLE = {On some properties of pure morphisms of commutative rings}, JOURNAL = {Theory Appl. Categ.}, VOLUME = {10}, NUMBER = {9}, YEAR = {2002}, PAGES = {180--186}, } @ARTICLE{metzler, AUTHOR = {Metzler, David}, TITLE = {Topological and Smooth Stacks}, JOURNAL = {math.DG/0306176}, YEAR = {2005}, } @ARTICLE{Miller, AUTHOR = {Miller, George Abram}, TITLE = {The {O}bsolete in {M}athematics}, JOURNAL = {Amer. Math. Monthly}, VOLUME = {24}, YEAR = {1917}, NUMBER = {10}, PAGES = {453--456}, } @BOOK{Milne, AUTHOR = {Milne, James Stuart}, TITLE = {\'{E}tale cohomology}, SERIES = {Princeton Mathematical Series}, VOLUME = {33}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, N.J.}, YEAR = {1980}, PAGES = {xiii+323}, } @ARTICLE{Miyaoka-Mori86, AUTHOR = {Miyaoka, Yoichi and Mori, Shigefumi}, TITLE = {A numerical criterion for uniruledness}, JOURNAL = {Ann. of Math.}, YEAR = {1986}, VOLUME = {124}, PAGES = {65-69}, } @BOOK{Moore-Cartan, AUTHOR = {Moore, John Coleman}, TITLE = {Homotopie des complexes monoidaux}, BOOKTITLE = {S\'eminaire {H}enri {C}artan de l'{E}cole {N}ormale {S}up\'erieure, 1954/1955}, PUBLISHER = {Secr\'etariat math\'ematique}, ADDRESS = {11 rue Pierre Curie, Paris}, YEAR = {1955}, PAGES = {1 -- 8}, } @ARTICLE{MV, AUTHOR = {Morel, Fabien and Voevodsky, Vladimir}, TITLE = {{${\bf A}^1$}-homotopy theory of schemes}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {90}, YEAR = {1999}, PAGES = {45--143 (2001)}, URL = {http://www.numdam.org/item?id=PMIHES_1999__90__45_0}, } @ARTICLE{MB, AUTHOR = {Moret-Bailly, Laurent}, TITLE = {Un probl\eme de descente}, JOURNAL = {Bull. Soc. Math. France}, VOLUME = {124}, YEAR = {1996}, NUMBER = {4}, PAGES = {559--585}, URL = {http://www.numdam.org/item?id=BSMF_1996__124_4_559_0}, } @INPROCEEDINGS{Morin40, AUTHOR = {Morin, Ugo}, TITLE = {Sull{'}unirazionalit{\a} dell{'}ipersuperficie algebrica di qualunque ordine e dimensione sufficientemente alta}, BOOKTITLE = {Atti 2. Congr. Un. Mat. Ital., Bologna, 1940}, YEAR = {1942}, PUBLISHER = {Edizione Cremonense}, CITY = {Rome}, PAGES = {298--302}, } @ARTICLE{Mumford-topology, AUTHOR = {Mumford, David}, TITLE = {The topology of normal singularities of an algebraic surface and a criterion for simplicity}, JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.}, NUMBER = {9}, YEAR = {1961}, PAGES = {5--22}, } @ARTICLE{RE, AUTHOR = {Mumford, David}, TITLE = {Rational equivalence of 0-cycles on surfaces}, JOURNAL = {Journal of Mathematics of {K}yoto {U}niversity}, YEAR = {1968}, VOLUME = {9}, PAGES = {195--204}, } @BOOK{AVar, AUTHOR = {Mumford, David}, TITLE = {Abelian varieties}, PUBLISHER = {Oxford University Press}, YEAR = {1970}, SERIES = {Tata Institute of Fundamental Research Studies in Mathematics}, VOLUME = {5}, } @BOOK{Mum, AUTHOR = {Mumford, David}, TITLE = {Lectures on curves on an algebraic surface}, PUBLISHER = {Princeton University Press}, YEAR = {1966}, VOLUME = {59}, SERIES = {Annals of Mathematics Studies}, } @BOOK{GIT, AUTHOR = {Mumford, David and Fogarty, John and Kirwan, Frances}, TITLE = {Geometric Invariant Theory, 3d ed.}, PUBLISHER = {Springer-Verlag}, YEAR = {1994}, VOLUME = {34}, SERIES = {Ergebnisse der Math.}, } @BOOK{RB, AUTHOR = {Mumford, David}, TITLE = {The Red Book of Varieties and Schemes}, PUBLISHER = {Springer-Verlag}, YEAR = {1988}, VOLUME = {1358}, SERIES = {Lecture Notes in Mathematics}, } % double copy of the red book @BOOK{M, AUTHOR = {Mumford, David}, TITLE = {The Red Book of Varieties and Schemes}, PUBLISHER = {Springer-Verlag}, YEAR = {1988}, VOLUME = {1358}, SERIES = {Lecture Notes in Mathematics}, } @ARTICLE{PathII, AUTHOR = {Mumford, David}, TITLE = {Further pathologies in algebraic geometry}, JOURNAL = {Amer. J. Math.}, VOLUME = {84}, YEAR = {1962}, PAGES = {642--648}, } @INCOLLECTION{mumford_picard, AUTHOR = {Mumford, David}, TITLE = {Picard groups of moduli problems}, BOOKTITLE = {Arithmetical {A}lgebraic {G}eometry ({P}roc. {C}onf. {P}urdue {U}niv., 1963)}, PAGES = {33--81}, PUBLISHER = {Harper \& Row}, ADDRESS = {New York}, YEAR = {1965}, } @INCOLLECTION{Murre-representation, AUTHOR = {Murre, Jakob Pieter}, TITLE = {Representation of unramified functors. {A}pplications (according to unpublished results of {A}. {G}rothendieck)}, BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 9}, PAGES = {243--261}, PUBLISHER = {Soc. Math. France}, ADDRESS = {Paris}, YEAR = {1995}, } @BOOK{Murre-lectures, AUTHOR = {Murre, J. P.}, TITLE = {Lectures on an introduction to {G}rothendieck's theory of the fundamental group}, NOTE = {Notes by S. Anantharaman, Tata Institute of Fundamental Research Lectures on Mathematics, No 40}, PUBLISHER = {Tata Institute of Fundamental Research, Bombay}, YEAR = {1967}, PAGES = {iv+176+iv}, } %%%%%%%%%%%%%%%%%%%%%% N %%%%%%%%%%%%%%%%%%%%%% @BOOK{Nagata, AUTHOR = {Nagata, Masayoshi}, TITLE = {Local rings}, SERIES = {Interscience Tracts in Pure and Applied Mathematics, No. 13}, PUBLISHER = {Interscience Publishers a division of John Wiley \& Sons\, New York-London}, YEAR = {1962}, PAGES = {xiii+234}, } @ARTICLE{Nagata-4, AUTHOR = {Nagata, Masayoshi}, TITLE = {A generalization of the imbedding problem of an abstract variety in a complete variety}, JOURNAL = {J. Math. Kyoto Univ.}, VOLUME = {3}, YEAR = {1963}, PAGES = {89--102}, } @ARTICLE{Nagata-3, AUTHOR = {Nagata, Masayoshi}, TITLE = {Imbedding of an abstract variety in a complete variety}, JOURNAL = {J. Math. Kyoto Univ.}, VOLUME = {2}, YEAR = {1962}, PAGES = {1--10}, } @ARTICLE{Nagata-UFD, AUTHOR = {Nagata, Masayoshi}, TITLE = {A remark on the unique factorization theorem}, JOURNAL = {J. Math. Soc. Japan}, VOLUME = {9}, YEAR = {1957}, PAGES = {143--145}, } @ARTICLE{Nagata-2, AUTHOR = {Nagata, Masayoshi}, TITLE = {On the imbeddings of abstract surfaces in projective varieties}, JOURNAL = {Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math.}, VOLUME = {30}, YEAR = {1957}, PAGES = {231--235}, } @ARTICLE{Nagata-1, AUTHOR = {Nagata, Masayoshi}, TITLE = {On the imbedding problem of abstract varieties in projective varieties}, JOURNAL = {Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math.}, VOLUME = {30}, YEAR = {1956}, PAGES = {71--82}, } @ARTICLE{Nak, AUTHOR = {Nakamura, Iku}, TITLE = {Hilbert schemes of abelian group orbits}, JOURNAL = {Journal of Algebraic Geometry}, VOLUME = {10}, YEAR = {2001}, PAGES = {757-779}, } @ARTICLE{Neeman-Counterexample, AUTHOR = {Neeman, Amnon}, TITLE = {A counterexample to a 1961 theorem'' in homological algebra}, NOTE = {With an appendix by P. Deligne}, JOURNAL = {Invent. Math.}, FJOURNAL = {Inventiones Mathematicae}, VOLUME = {148}, YEAR = {2002}, NUMBER = {2}, PAGES = {397--420}, ISSN = {0020-9910}, CODEN = {INVMBH}, } @BOOK{Neeman, AUTHOR = {Neeman, Amnon}, TITLE = {Triangulated categories}, SERIES = {Annals of Mathematics Studies}, VOLUME = {148}, PUBLISHER = {Princeton University Press}, ADDRESS = {Princeton, NJ}, YEAR = {2001}, PAGES = {viii+449}, } @ARTICLE{Neeman-Grothendieck, AUTHOR = {Neeman, Amnon}, TITLE = {The {G}rothendieck duality theorem via {B}ousfield's techniques and {B}rown representability}, JOURNAL = {J. 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J.}, FJOURNAL = {Michigan Mathematical Journal}, VOLUME = {53}, YEAR = {2005}, NUMBER = {1}, PAGES = {209--236}, ISSN = {0026-2285}, } @ARTICLE{romagny_notes, AUTHOR = {Romagny, Matthieu}, TITLE = {A note on group actions on algebraic stacks}, JOURNAL = {math.AG/0305243}, YEAR = {2003} } @UNPUBLISHED{Joe, AUTHOR = {Ross, Joseph}, TITLE = {The Hilbert-Chow Morphism and the Incidence Divisor}, YEAR = {2009}, NOTE = {Columbia University PhD thesis} } % should be type phdthesis? @ARTICLE{Ross-Thomas, AUTHOR = {Ross, Julius and Thomas, Richard}, TITLE = {A study of the {H}ilbert-{M}umford criterion for the stability of projective varieties}, JOURNAL = {J. Algebraic Geom.}, VOLUME = {16}, YEAR = {2007}, NUMBER = {2}, PAGES = {201--255}, URL = {http://dx.doi.org/10.1090/S1056-3911-06-00461-9}, } @ARTICLE{Rotthaus-excellent, AUTHOR = {Rotthaus, Christel}, TITLE = {Rings with approximation property}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {287}, YEAR = {1990}, NUMBER = {3}, PAGES = {455--466}, URL = {http://dx.doi.org/10.1007/BF01446905}, } @INCOLLECTION{Rotthaus-Artin, AUTHOR = {Artin, Michael and Rotthaus, Christel}, TITLE = {A structure theorem for power series rings}, BOOKTITLE = {Algebraic geometry and commutative algebra, {V}ol.\ {I}}, PAGES = {35--44}, PUBLISHER = {Kinokuniya}, ADDRESS = {Tokyo}, YEAR = {1988}, } @ARTICLE{Rouquier-dimensions, AUTHOR = {Rouquier, Rapha{\"e}l}, TITLE = {Dimensions of triangulated categories}, JOURNAL = {J. K-Theory}, VOLUME = {1}, YEAR = {2008}, NUMBER = {2}, PAGES = {193--256}, URL = {http://dx.doi.org/10.1017/is007011012jkt010}, } @ARTICLE{rydh_approx, AUTHOR = {Rydh, David}, TITLE = {Noetherian approximation of algebraic spaces and stacks}, JOURNAL = {math.AG/0904.0227}, YEAR = {2008} } @ARTICLE{rydh_quotients, AUTHOR = {Rydh, David},