Homomorphisms of abelian varieties over geometric fields of finite characteristic (original) (raw)

Homomorphisms of abelian varieties over geometric fields of finite characteristic

arXiv (Cornell University), 2010

Abstract

We study analogues of Tate's conjecture on homomorphisms for abelian varieties when the ground field is finitely generated over an algebraic closure of a finite field. Our results cover the case of abelian varieties without nontrivial endomorphisms.

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