WebMar 15, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site WebSep 27, 2024 · Download PDF Abstract: Following Mumford and Chiodo, we compute the Chern character of the derived pushforward $\textrm{ch} (R^\bullet\pi_\ast\mathscr{O}(\mathsf{D}))$, for $\mathsf D$ an arbitrary element of the Picard group of the universal curve over the moduli stack of stable marked curves. This …
Triangulated categories, and in particular derived categories, …
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. WebDec 27, 2009 · If the map proper, the pushforward is coherent, if it's not proper, the derived category won't help. The real reason to use derived category is that there are higher direct images. In particular, without derived category the base change would not work, so you cannot prove anything about F-M transform (e.g., you cannot write its inverse). thekeanfarm
The derived category of constructible sheaves. - University …
WebStack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange Webthe derived Hodge-to-de-Rham spectral sequence — computing algebraic de Rham cohomology. The theorem above shows the non-vanishing of many differentials of this … Webkernels of triangulated functors between derived categories of sheaves on schemes. In this talk, I will show a new uniqueness result for lifts of triangulated functors coming from algebraic geometry: the derived pushforward and the derived pullback (of a flat morphism between suitable schemes). The strategy is the keane family