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arXiv · 1602.08354

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

Victoria Cantoral Farfán
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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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Victoria Cantoral Farfán. 2016-02-26. A survey around the Hodge, Tate and Mumford-Tate conjectures for abelian varieties. https://arxiv.org/abs/1602.08354

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