WebFeb 28, 2024 · pushforward in generalized homology (twisted-)self-duality-induced dagger of this counit (twisted-)Umkehr map/fiber integration: linear polynomial functor: … Webgenerator G of D(X) the Frobenius pushforward Fe ∗G generates the bounded derived category for whenever pe is larger than the codepth of X, an invariant that is a measure of the singularity of X. The conclusion holds for all positive integers e when X is locally complete intersection. The question of when one can take G = O X is also ...
HIGH FROBENIUS PUSHFORWARDS GENERATE THE …
WebDerived category D(A). Motivation: many natural functors on sheaves are not exact in general. However, exactness is preserved on certain subcategories, i.e. the subcategory … WebThere are issues with this derived de nition: how does one compose left and right derived functors? I can’t resolve them here. We need that there is a derived pushforward, and consequently we get a long exact sequence in cohomology. See [2, Section 1.5]. Example 2.3. Say ’: Ak!Anis the inclusion of the space fx k+1 = = x n = 0gvia the ... riddle 6 crossword clue
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WebJan 12, 2024 · Pushforward of locally free sheaves under open immersion. 2. determinant of a coherent sheaf, locally free on a big open set. 2. Is a coherent and flat sheaf locally free? Question feed Subscribe to RSS Question feed To subscribe to this RSS feed, copy and paste this URL into your RSS reader. ... WebSometimes we can compute the right derived functor of a composition. Suppose that be abelian categories. Let and be left exact functors. Assume that the right derived functors , , and are everywhere defined. Then there exists a canonical transformation of functors from to , see Lemma 13.14.16. This transformation need not always be an isomorphism. WebMay 21, 2024 · Derived pushforward is basically sheafifying "taking cohomology", which is something that is useful to know how to do basically as soon as you know what cohomology is, while derived pushforward doesn't solve the same level of problems. riddle 4th grade