A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties

Published 26 Feb 2016 in math.NT | (1602.08354v1)

Abstract: This survey describe Hodge, Tate and Mumford-Tate conjectures for abelian varieties. After some preliminaries on endomorphism ring, polarization and algebraic cycles, we state the three conjectures and provide a list of know results. Finally, we explain some links between these conjectures.

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Authors (1)

Victoria Cantoral Farfán

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