Projective Isomonodromy and Galois Groups
Classical Analysis and ODEs
2012-06-04 v5 Dynamical Systems
Abstract
In this article we introduce the notion of projective isomonodromy, which is a special type of monodromy evolving deformation of linear differential equations, based on the example of the Darboux-Halphen equation. We give an algebraic condition for a paramaterized linear differential equation to be projectively isomonodromic, in terms of the derived group of its parameterized Picard-Vessiot group.
Cite
@article{arxiv.1002.2005,
title = {Projective Isomonodromy and Galois Groups},
author = {Claude Mitschi and Michael F. Singer},
journal= {arXiv preprint arXiv:1002.2005},
year = {2012}
}
Comments
Version that will appear in the Proceedings of the American Mathematical Society