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Abstract: In this article we introduce the notion of projective isomonodromy, which isa special type of monodromy evolving deformation of linear differentialequations, based on the example of the Darboux-Halphen equation. We give analgebraic condition for a paramaterized linear differential equation to beprojectively isomonodromic, in terms of the derived group of its parameterizedPicard-Vessiot group.



Author: Claude Mitschi, Michael F. Singer

Source: https://arxiv.org/



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