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arXiv · 2002.00290

On matrices of endomorphisms of abelian varieties

Yuri G. Zarhin
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Abstract

We study endomorphisms of abelian varieties and their action on the l-adic Tate modules. We prove that for every endomorphism one may choose a basis of each Tate module such that the corresponding matrix has rational entries and does not depend on l.

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Yuri G. Zarhin. 2020-02-01. On matrices of endomorphisms of abelian varieties. https://arxiv.org/abs/2002.00290

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