Parameterized Differential Equations over k((t))(x)
Commutative Algebra
2015-10-29 v1 Group Theory
Abstract
In this article, we consider the inverse Galois problem for parameterized differential equations over k((t))(x) with k any field of characteristic zero and use the method of patching over fields due to Harbater and Hartmann. As an application, we prove that every connected semisimple k((t))-split linear algebraic group is a parameterized Galois group over k((t))(x).
Keywords
Cite
@article{arxiv.1310.8141,
title = {Parameterized Differential Equations over k((t))(x)},
author = {Annette Maier},
journal= {arXiv preprint arXiv:1310.8141},
year = {2015}
}
Comments
13 pages