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arXiv · 1002.2005

Projective Isomonodromy and Galois Groups

Claude Mitschi·Michael F. Singer
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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.

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Claude Mitschi, Michael F. Singer. 2012-06-01. Projective Isomonodromy and Galois Groups. https://arxiv.org/abs/1002.2005

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