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arXiv:1012.5083 [math.NT]AbstractReferencesReviewsResources

Homomorphisms of abelian varieties over geometric fields of finite characteristic

Yuri G. Zarhin

Published 2010-12-22, updated 2011-10-11Version 3

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.

Comments: 10 pages, to appear in J. Institut Math. Jussieu
Categories: math.NT, math.AG
Subjects: 11G10, 14K15
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