Homomorphisms of abelian varieties over finite fields
Algebraic Geometry
2020-10-16 v5 Number Theory
Abstract
These are notes of my lectures at the summer school "Higher-dimensional geometry over finite fields" in Goettingen, June--July 2007. We present a proof of Tate's theorem on homomorphisms of abelian varieties over finite fields (including the case) that is based on a "quaternion trick". In fact, a a slightly stronger version of those theorems with "finite coefficients" is proven.
Keywords
Cite
@article{arxiv.0711.1615,
title = {Homomorphisms of abelian varieties over finite fields},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:0711.1615},
year = {2020}
}
Comments
23 pages. Several typos have been corrected