Hyperelliptic jacobians without complex multiplication
Algebraic Geometry
2007-05-23 v2 Number Theory
Abstract
We prove that the jacobian of a hyperelliptic curve y^2=f(x) has no nontrivial endomorphisms over an algebraic closure of the ground field of characteristic zero if the Galois group of the polynomial f is ``very big''.
Keywords
Cite
@article{arxiv.math/9909052,
title = {Hyperelliptic jacobians without complex multiplication},
author = {Yuri G. Zarhin},
journal= {arXiv preprint arXiv:math/9909052},
year = {2007}
}
Comments
LaTeX2e, 8 pages