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- W4287752687 abstract "We study the equivariant category associated to a finite group action on the derived category of coherent sheaves of a smooth projective variety. We discuss decompositions of the equivariant category and faithful actions, prove the existence of a Serre functor, give a criterion for the equivariant category to be Calabi--Yau, and describe an obstruction for a subgroup of the group of auto-equivalences to act. As application we show that the equivariant category of any symplectic action on the derived category of an elliptic curve is equivalent to the derived category of an elliptic curve." @default.
- W4287752687 created "2022-07-26" @default.
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- W4287752687 date "2020-06-24" @default.
- W4287752687 modified "2023-09-26" @default.
- W4287752687 title "On equivariant derived categories" @default.
- W4287752687 doi "https://doi.org/10.48550/arxiv.2006.13626" @default.
- W4287752687 hasPublicationYear "2020" @default.
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