On matrices of endomorphisms of abelian varieties
Algebraic Geometry
2020-05-28 v3
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.
Cite
@article{arxiv.2002.00290,
title = {On matrices of endomorphisms of abelian varieties},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:2002.00290},
year = {2020}
}
Comments
15 pages