Claude Mitschi, Michael F. Singer
Published 2010-02-10, updated 2012-06-01Version 5
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.
Comments: Version that will appear in the Proceedings of the American Mathematical Society
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