Homomorphisms of abelian varieties over geometric fields of finite characteristic

Details Homomorphisms of abelian varieties over geometric fields of finite characteristic Homomorphisms of abelian varieties over geometric fields of finite characteristic

2010-12-22

arxiv.org/abs/1012.5083v3

Mathematics

Number Theory

10 pages, to appear in J. Institut Math. Jussieu

Scientific paper

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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