Homomorphisms of abelian varieties over geometric fields of finite characteristic

Yuri G. Zarhin

doi:10.1017/S1474748012000655

Homomorphisms of abelian varieties over geometric fields of finite characteristic

Yuri G. Zarhin

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 non-trivial endomorphisms.

Original language	English (US)
Pages (from-to)	225-236
Number of pages	12
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	12
Issue number	2
DOIs	https://doi.org/10.1017/S1474748012000655
State	Published - Apr 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S1474748012000655

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Homomorphisms of abelian varieties over geometric fields of finite characteristic

Abstract

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