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Results tagged with derived-categories
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user 119460
For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.
7
votes
0
answers
408
views
Understanding Koszul Duality in BGG and Gelfand, Manin
I'm trying to understand a particular point in the proof of Koszul duality between $D^b(\Lambda(V))$ and $D^b(S(V^*))$ as seen in "Algebraic Bundles over $\mathbb{P}^n$ and Problems of Linear Algebra" …
- 841
2
votes
1
answer
339
views
A question on some lemmas in Orlov's "Triangulated Categories of Singularities and D-Branes ...
I'll write the two lemmas I have questions about, and then ask my questions. For reference, I'm using the following definition of Gorenstein:
$\mathbf{Definition\ 1.15}$ A local noetherian ring $A$ i …
- 841
6
votes
1
answer
346
views
Question on condition for a sheaf to be locally free in Orlov 2004
In "Triangulated Categories of Singularities and D-Branes in Landau-Ginzburg Models", Orlov twice mentions the following criterion for a sheaf $P_1$ to be locally free:
If for all closed points $t:x …
- 841