Derived equivalences of Abelian varieties and symplectic isomorphisms

Abstract

We study derived equivalences of Abelian varieties in terms of their associated symplectic data. For simple Abelian varieties over an algebraically closed field of characteristic zero we prove that the natural correspondence introduced by Orlov, which maps equivalences to symplectic isomorphisms, is surjective.Comment: 19 pages, to appear in Journal of Geometry and Physic