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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.
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
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 …
- 27.5k