论文信息 - Derived categories of coherent sheaves on Abelian varieties and equivalences between them

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

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 and describe the autoequivalence group for the derived category of coherent sheaves of an Abelian variety.

D. Orlov | Dmitri Orlov

[1] D. Orlov,et al. Equivalences of derived categories and K3 surfaces , 1996, alg-geom/9606006.

[2] A. Polishchuk. Symplectic biextensions and a generalization of the Fourier-Mukai transform , 1995, alg-geom/9511018.

[3] A. Bondal,et al. Semiorthogonal decompositions for algebraic varieties. , 1995 .

[4] A.Bondal,et al. Semiorthogonal decomposition for algebraic varieties , 1995, alg-geom/9506012.

[5] 向井茂. Duality between D(X) and D(X) with its application to Picard sheaves , 1982 .

[6] S. Mukai. Duality between D(X) and with its application to picard sheaves , 1981, Nagoya Mathematical Journal.

[7] M. Vergne,et al. The Weil representation, Maslov index, and theta series , 1980 .

[8] S. Mukai. Semi-homogeneous vector bundles on an abelian variety , 1978 .

[9] M. Raynaud,et al. Critères de platitude et de projectivité , 1971 .

[10] R. Hartshorne. Residues And Duality , 1966 .