Abelian varieties, quaternion trick and endomorphisms
Algebraic Geometry
2022-02-01 v5 Number Theory
Abstract
Let be a polarized abelian variety over a field . Let be a ring with an involution that acts on and this action is compatible with the polarization. We prove that the natural action of on is compatible with a certain principal polarization.
Cite
@article{arxiv.2010.07995,
title = {Abelian varieties, quaternion trick and endomorphisms},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:2010.07995},
year = {2022}
}
Comments
6 pages