Inverse Galois problem for ordinary curves
Algebraic Geometry
2017-12-20 v2 Number Theory
Abstract
We consider the inverse Galois problem over function fields of positive characteristic p, for example, the inverse Galois problem over the projective line. We describe a method to construct certain Galois covers of the projective line and other curves, which are ordinary in the sense that their Jacobian has maximal p-torsion. We do this by constructing Galois covers of ordinary semi-stable curves, and then deforming them into smooth Galois covers.
Keywords
Cite
@article{arxiv.1704.07608,
title = {Inverse Galois problem for ordinary curves},
author = {Raymond van Bommel},
journal= {arXiv preprint arXiv:1704.07608},
year = {2017}
}
Comments
correction of a few small errors, improvements made in presentation, comments are still welcome!