Derived equivalences of Abelian varieties and symplectic isomorphisms
[摘要] 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. (C) 2017 Elsevier B.V. All rights reserved.
[发布日期] 2017-12-01 [发布机构]
[效力级别] Proceedings Paper [学科分类]
[关键词] Integral functors;Fourier-Mukai transforms;Abelian variety;Symplectic isomorphism;Semihomogeneous sheaf [时效性]
