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)|
|Number of pages||12|
|Journal||Journal of the Institute of Mathematics of Jussieu|
|State||Published - Apr 1 2013|
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