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Results tagged with derived-categories
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user 184
For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.
8
votes
1
answer
783
views
Derived Category of the derived critical locus, is it the category of Matrix Factorizations?
Let $W \in \mathbb{C}[x_1, \dots, x_n]=R$ be a polynomial with an isolated critical point at the origin. A Matrix Factorizations for $W$ consists a $\mathbb{Z}/2\mathbb{Z}$-graded finite free $R$-modu …
CommunityBot
- 1
16
votes
Accepted
Derived categories and homotopy categories
Yes. The former is a special case of the latter. There is a model category structure on the category of (say bounded) chain complexes of objects in your given abelian category. The weak equivalences a …
- 27.5k