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Results tagged with derived-categories
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user 136792
For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.
3
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Semi-orthogonal decompositions for Calabi-Yau varieties
In Huybrechts' book Fourier-Mukai Transforms in Algebraic Geometry there is an exercise (Exercise 1.7 and 1.8) to prove the statement that the derived category $D^b(X)$ of a Calabi-Yau variety $X$ has …
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Six Functor Formalism for Closed Inclusion
Let $X$ be a (finite-dimensional) topological manifold and suppose $i: Z \to X$ is the inclusion of a closed subspace. Then there are several derived functors on derived categories of sheaves of abeli …
- 51