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Commits on Sep 18, 2020

  1. Small changes

    aisejohan committed Sep 18, 2020
  2. Lichtenbaum's theorem

    aisejohan committed Sep 18, 2020
  3. Fix double label

    aisejohan committed Sep 18, 2020

Commits on Sep 17, 2020

  1. Add a sorely needed lemma

    Should have done this a while ago
    aisejohan committed Sep 17, 2020
  2. \Hom_k(H^i(U, F), k) = H^{-i}_c(U, RHom(F, omega))

    for F coherent on U sep fin type over field k
    aisejohan committed Sep 17, 2020
  3. Powers of an ideal in D(A) is related to Koszul

    Of course only in the Noetherian case. Also improved the proof of the
    corresponding statement about A/I^n...
    aisejohan committed Sep 17, 2020
  4. Some evaluation map is an iso

    in the perfect case
    aisejohan committed Sep 17, 2020

Commits on Sep 15, 2020

  1. Bertini a la Jouanolou

    On the one hand this is an amazing argument on the other hand it seems
    difficult to understand what is happening in the argument geometrically.
    aisejohan committed Sep 15, 2020
  2. Small changes in varieties

    aisejohan committed Sep 15, 2020

Commits on Sep 10, 2020

  1. Compactly supported cohomology coherent modules

    Just the beginning. This is not really what Deligne wanted to do because
    we don't check the well definedness of Rf_! ab ovo but instead we use
    the fact that we've already esthablished the existence of f^! (and the
    fact that it is well defined etc). But I judge that the checks needed to
    verify the well definedness of Rf_! from first principles is pretty much
    just as hard as what we had to do for f^! and we've already done it.
    
    But please complain to me anyway if you want!
    aisejohan committed Sep 10, 2020

Commits on Sep 8, 2020

  1. Recognizing Deligne systems

    Thanks to Max Lieblich for choice of the name of these systems.
    aisejohan committed Sep 8, 2020
  2. Systems of the form I^nM

    Slightly better handling of this kind of thing
    aisejohan committed Sep 8, 2020
  3. Essentially constant systems in triangulated cats

    Skeleton section
    aisejohan committed Sep 8, 2020

Commits on Sep 7, 2020

Commits on Sep 6, 2020

  1. Typo in more-algebra

    aisejohan committed Sep 6, 2020

Commits on Sep 5, 2020

  1. Lift object D^b_{Coh}

    aisejohan committed Sep 5, 2020
  2. Pro-systems and functors

    aisejohan committed Sep 5, 2020
  3. Add new contributor

    Yixiao Li (李一笑)
    aisejohan committed Sep 5, 2020
  4. Tags: Added new tags

    aisejohan committed Sep 5, 2020
  5. Fix a tag

    aisejohan committed Sep 5, 2020
  6. Move a lemma to obsolete chapter

    Due to the reorganization of the proof in the previous commit
    aisejohan committed Sep 5, 2020
  7. Still didn't fix it correctly. Sigh!

    Thanks to 李一笑
    
    OK, I will try not to make a habit of fixing things wrong...
    aisejohan committed Sep 5, 2020

Commits on Sep 4, 2020

  1. Tags: added new tags

    aisejohan committed Sep 4, 2020
  2. Fix missing arguments in proof OCXU

    Thanks to 李一笑 who writes:
    
    "The proof implicitly used that any dense subset of a noetherian
    topological space contains a countable dense subset. Maybe this should
    be made explicit and be formulated into a lemma."
    
    After asking more 李一笑 also pointed out that
    
    "What's more, it may not be the case that $E$ is infinite, for example
    if there is an element of $E$ whose closure contains $u_{0}$. This case
    should also be considered in 0CXS."
    
    The first problem is addressed in this commit and the previous one
    (7f41eb8 but I could only prove the existence of the countable dense
    subset in the case of Noetherian schemes). The second problem was
    addressed in 3e7633b
    aisejohan committed Sep 4, 2020
  3. Countable dense subsets in Noetherian schemes

    Thanks to 李一笑 for pointing out we need this lemma
    
    Additional: I think this lemma is wrong for general sober Noetherian
    topological spaces
    aisejohan committed Sep 4, 2020
  4. Split out a lemma in artin and apply it

    Thanks to 李一笑
    
    Since finite type points aren't closed there can be specializations
    between them. Thus we can ask if versality of objects "generalizes".
    
    We missed this point in the proof of 0CXU as well as another one which
    we will fix in the next commit
    aisejohan committed Sep 4, 2020
  5. Extension by zero for coherent modules

    Following Deligne's appendix to Hartshorne's book
    aisejohan committed Sep 4, 2020
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