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Tate Conjecture And Finiteness of Abelian Varieties over Finite Field (1808.04783v3)

Published 14 Aug 2018 in math.AG

Abstract: In this paper we will prove that Tate conjecture of abelian varieties over finite field is equivalent to the finiteness of isomorphism classes of abelian varieties with a fixed dimension. We give a different approach with Zarhin's result.