Homomorphisms of abelian varieties over geometric fields of finite characteristic
classification
🧮 math.NT
math.AG
keywords
abelianvarietiesfieldfinitehomomorphismsalgebraicanaloguescase
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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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