Descent theory for semiorthogonal decompositions
Journal Article
·
· Sbornik. Mathematics
We put forward a method for constructing semiorthogonal decompositions of the derived category of G-equivariant sheaves on a variety X under the assumption that the derived category of sheaves on X admits a semiorthogonal decomposition with components preserved by the action of the group G on X. This method is used to obtain semiorthogonal decompositions of equivariant derived categories for projective bundles and blow-ups with a smooth centre as well as for varieties with a full exceptional collection preserved by the group action. Our main technical tool is descent theory for derived categories. Bibliography: 12 titles.
- OSTI ID:
- 21612762
- Journal Information:
- Sbornik. Mathematics, Vol. 203, Issue 5; Other Information: DOI: 10.1070/SM2012v203n05ABEH004238; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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