Homomorphisms of abelian varieties over geometric fields of finite characteristic

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)225-236
Number of pages12
JournalJournal of the Institute of Mathematics of Jussieu
Volume12
Issue number2
DOIs
StatePublished - Apr 1 2013

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Abelian Variety
Homomorphisms
Endomorphisms
Finitely Generated
Galois field
Closure
Cover
Analogue

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Homomorphisms of abelian varieties over geometric fields of finite characteristic. / Zarkhin, Yuriy G.

In: Journal of the Institute of Mathematics of Jussieu, Vol. 12, No. 2, 01.04.2013, p. 225-236.

Research output: Contribution to journalArticle

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