Derived categories of coherent sheaves on Abelian varieties and equivalences between them
نویسندگان
چکیده
منابع مشابه
On equivalences of derived categories of coherent sheaves on abelian varieties
It was proved in [Po1] that if the varieties A × Â and B × B̂ are symplectically isomorphic, where A and B are abelian varieties over algebraically closed field, then the derived categories of coherent sheaves D coh(A) and D b coh(B) are equivalent. The aim of this paper is to give the proof for the inverse statement (see Th.2.7 ), i.e. if the derived categories D coh(A) and D b coh(B) are equiv...
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A finite poset X carries a natural structure of a topological space. Fix a field k, and denote by D(X) the bounded derived category of sheaves of finite dimensional k-vector spaces over X. Two posets X and Y are said to be derived equivalent if D(X) and D(Y ) are equivalent as triangulated categories. We give explicit combinatorial properties of X which are invariant under derived equivalence, ...
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2 Derived Structures 4 2.1 Derived Direct Image . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Derived Sheaf Hom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 Derived Inverse Image . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4 Existence of Quasi-coherent Flats . . . . . . . . . . . . . . . . . . . . . . . ....
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ژورنال
عنوان ژورنال: Izvestiya: Mathematics
سال: 2002
ISSN: 1064-5632,1468-4810
DOI: 10.1070/im2002v066n03abeh000389