Derived equivalences of Abelian varieties and symplectic isomorphisms

JOURNAL OF GEOMETRY AND PHYSICS

卷:122

Article; Proceedings Paper

Tejero Prieto, Carlos¹ 

[1] Univ Salamanca, Dept Matemat, Plaza Merced 1-4, E-37008 Salamanca, Spain

关键词: Integral functors;    Fourier-Mukai transforms;    Abelian variety;    Symplectic isomorphism;    Semihomogeneous sheaf;   

DOI  :  10.1016/j.geomphys.2017.01.010

来源: Elsevier

【 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.

【 授权许可】

Free