Monodromy groups of parameterized linear differential equations with regular singularities
Classical Analysis and ODEs
2014-02-26 v2
Abstract
We study the notion of regular singularities for parameterized complex ordinary linear differential systems, prove an analogue of the Schlesinger theorem for systems with regular singularities and solve both a parameterized version of the weak Riemann-Hilbert Problem and a special case of the inverse problem in parameterized Picard-Vessiot theory.
Cite
@article{arxiv.1106.2664,
title = {Monodromy groups of parameterized linear differential equations with regular singularities},
author = {Claude Mitschi and Michael F. Singer},
journal= {arXiv preprint arXiv:1106.2664},
year = {2014}
}
Comments
Version to appear in the Bulletin of the London Mathematical Society