Endomorphism algebras of hyperelliptic jacobians and finite projective lines
Algebraic Geometry
2008-06-20 v5 Number Theory
Abstract
We prove that the jacobian of a hyperelliptic curve y^2=f(x) is absolutely simple if deg(f)=q+1 where q is a power prime congruent to 5 modulo 8, the polynomial f(x) is irreducible over the ground field of characteristic zero and its Galois group is L_2(q).
Keywords
Cite
@article{arxiv.math/0508120,
title = {Endomorphism algebras of hyperelliptic jacobians and finite projective lines},
author = {Arsen Elkin and Yuri G. Zarhin},
journal= {arXiv preprint arXiv:math/0508120},
year = {2008}
}
Comments
LaTeX, 16 pages