On equivariant derived categories
نویسندگان
چکیده
Abstract We study the equivariant category associated to a finite group action on derived of coherent sheaves smooth projective variety. In particular, we discuss decompositions category, prove existence Serre functor, and give criterion for be Calabi–Yau. describe an obstruction subgroup auto-equivalences act category. As application show that any Calabi–Yau elliptic curve is equivalent curve.
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ژورنال
عنوان ژورنال: European journal of mathematics
سال: 2023
ISSN: ['2199-675X', '2199-6768']
DOI: https://doi.org/10.1007/s40879-023-00635-y