Projective Isomonodromy and Galois Groups

Details Projective Isomonodromy and Galois Groups Projective Isomonodromy and Galois Groups

2010-02-10

arxiv.org/abs/1002.2005v4

Mathematics

Classical Analysis and ODEs

13 pages; references made more precise

Scientific paper

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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