Work

Projective Isomonodromy and Galois Groups

Year: 2010

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1002.2005

Authors: Mitschi, Claude, Singer, Michael F.

Institutions: Centre National de la Recherche Scientifique, Institut de Recherche Mathématique Avancée, Université de Strasbourg, North Carolina State University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4297958941

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