Torsion of Drinfeld modules and equicharacteristic unimodular Galois covers
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We prove that the groups PSL(r,q^d) can be realized F_q(T)-regularly as Galois groups over the purely transcendental field F_q(T)(t_1,...,t_{r-1}) if r is even and r/2 is coprime to q^d-1. The method is to use twisted moduli schemes of Drinfeld modules (a la Shih). If one has sufficient control over modular forms, it can be made into an algorithm to find explicit equations. We do this for PSL(2,q^2) using Drinfeld modular forms.
Keywords
Cite
@article{arxiv.math/0209023,
title = {Torsion of Drinfeld modules and equicharacteristic unimodular Galois covers},
author = {Gunther Cornelissen and Marina Tripolitaki},
journal= {arXiv preprint arXiv:math/0209023},
year = {2007}
}
Comments
14 pages, uses a4 style