Homomorphisms of abelian varieties
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We discuss Galois properties of points of prime order on an abelian variety that imply the simplicity of its endomorphism algebra. Applications to hyperelliptic jacobians are given. In particular, we improve some of our earlier results.
Keywords
Cite
@article{arxiv.math/0406273,
title = {Homomorphisms of abelian varieties},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:math/0406273},
year = {2007}
}
Comments
23 pages, to appear in the Proceedings of ``Arithmetic, Geometry and Coding Theory - 9" conference (Luminy, May 2003)