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Results tagged with derived-categories
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user 111491
For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.
4
votes
K-equivalence ⇒ isomorphism of Chow motives?
K-equivalence $\implies$ isomorphism of (rational) Chow motives is a conjecture going back to this 2002 paper of Wang (Conjecture 2.2); see this overview paper of his for what else K-equivalence shoul …
- 2,310
7
votes
Heart of a bounded $t$-structure on the derived category of coherent sheaves
One can construct t-structures on the bounded derived category of coherent sheaves on a smooth projective curve (or higher-dimensional variety) by tilting, see Bayer's notes, Prop. 3.6.1, and the corr …
- 2,310
11
votes
1
answer
873
views
K-equivalence ⇒ isomorphism of Chow motives?
An old conjecture of Bondal–Orlov–Kawamata predicts that K-equivalent varieties are D-equivalent, see Kawamata's paper D-equivalence and K-equivalence for definitions. In particular this applies to bi …
- 2,310