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A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties (1602.08354v1)
Published 26 Feb 2016 in math.NT
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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