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For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.

12 votes
2 answers
374 views

Obstruction to splitting an object in derived category into a sum of two-term complexes

Let $\mathcal{A}$ be an abelian category, and $D$ its bounded derived category. An object $M \in D$ may be described as a list of cohomology objects $H^i = H^i(M)$ together with some complicated gluei …
Dmitry Pirozhkov's user avatar