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Homomorphisms of abelian varieties over geometric fields of finite characteristic

Published online by Cambridge University Press:  16 May 2012

Yuri G. Zarhin
Yuri G. Zarhin*
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA ([email protected])
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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.

Keywords

Abelian varietiesTate modulescyclotomic extensions
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 12 , Issue 2 , April 2013 , pp. 225 - 236
Copyright
©Cambridge University Press 2012

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