ega

amateur translation (French to English) of A. Grothendieck's EGA. S’il-vous plaît pardonnez-nous, Grothendieck.

to compile, make book, make pdfs, or make all.

please do not commit PDF files, instead put book.pdf in the build release.

click here for a copy of the compiled version.

todo

• when this is finished (?!) we should assign a DOI?
• reference for section titles this
• the notes here are extremely helpful
• an excellent reference for math terms in French here
• another reference for math terms in French here
• web version? work in progress

current status

Here is the current status of the translation, along with the main contributors to the respective sections.

• Introduction
• Preliminaries
  • 1. Rings of fractions (@ryankeleti)
  • 2. Irreducible spaces. Noetherian spaces (@ryankeleti)
  • 3. Supplement on sheaves (@ryankeleti)
  • 4. Ringed spaces (@ryankeleti)
  • 5. Quasi-coherent sheaves and coherent sheaves (@ryankeleti)
  • 6. Flatness (@ryankeleti)
  • 7. Adic rings
  • 8. Representable functors
• The language of schemes
  • 0. Summary
  • 1. Affine schemes (@ryankeleti)
  • 2. Preschemes and their morphisms (@thosgood)
  • 3. Products of preschemes
  • 4. Subpreschemes and immersions
  • 5. Reduced preschemes; separation conditions
  • 6. Finiteness conditions
  • 7. Rational maps
  • 8. Chevalley schemes (@thosgood)
  • 9. Supplement on quasi-coherent sheaves (@thosgood)
  • 10. Formal schemes

LaTeX conventions

• \sh for sheaves, e.g. \sh{F} for a sheaf F; use \OO for the structure sheaf.
• \bb for bold letters, e.g. \bb{Z} for the ring of integers.
• \cat for categories, e.g. \cat{Set} for the category of sets; use \C for a "default" category, and \op for the opposite category.
• \dual for the dual sheaf, e.g. \dual{\sh{F}} for \sh{F}^\vee.
• \isoto for an isomorphism arrow.
• \emp for the empty set.
• \kres for the residue field.
• \rad/\nilrad for radical/nilradical.
• \vphi for \varphi. This is due to the font configuration swapping \varphi and \phi; if you want to use a different font, you could change this.
• \HH for cohomology.
• \leqslant/\geqslant for ≤, ≥.
• Use the operators defined in preamble.tex, such as \Spec, \im, \shHom, etc.
• Use \oldpage{x} to mark the original page number (x) at the current text position.