%0 Journal Article
%T Homomorphisms of abelian varieties over finite fields
%A Yuri G. Zarhin
%J Mathematics
%D 2007
%I arXiv
%X 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 $\ell=p$ case) that is based on a "quaternion trick". In fact, a a slightly stronger version of those theorems with "finite coefficients" is proven.
%U http://arxiv.org/abs/0711.1615v3