On the images of modular and geometric three-dimensional Galois represetations
Number Theory
2007-05-23 v1
Abstract
We address the problem of the determination of the images of three-dimensional geometric and modular Galois representations. In the modular case the existence of these representations is only conjectural. We give conditions to ensure that the images are as large as possible for almost every prime. We compute some examples and stress the applications to inverse Galois theory.
Keywords
Cite
@article{arxiv.math/0111043,
title = {On the images of modular and geometric three-dimensional Galois represetations},
author = {Luis Dieulefait and Nuria Vila},
journal= {arXiv preprint arXiv:math/0111043},
year = {2007}
}