Derived categories of coherent sheaves on abelian varieties and equivalences between them

Details Derived categories of coherent sheaves on abelian varieties and equivalences between them Derived categories of coherent sheaves on abelian varieties and equivalences between them

1997-12-16

arxiv.org/abs/alg-geom/9712017v3

Izv. RAN, Ser. Mat., v.66, N3 (2002)

Mathematics

Algebraic Geometry

25 pages, TeX file, second version, published in Izvestia RAN, Ser.Mat., v.66, N3 (2002) 131-158, translated by journal

Scientific paper

We study derived categories of coherent sheaves on abelian varieties. We give
a criterion for the equivalence of the derived categories on two abelian
varieties. We describe the autoequivalence group for the derived category of
coherent sheaves of an abelian variety.

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