Apparent singularities of Fuchsian equations, the Painlevé VI equation, and Garnier systems
type: Item
instance of: scholarly article
title: Apparent singularities of Fuchsian equations, the Painlevé VI equation, and Garnier systems
zbMATH Open document ID: 1189.34166
DOI: 10.1134/S1064562409020082
published in: Doklady Mathematics
publication date: 2009-10-26T00:00:00Z
review text: The author studies linear Fuchsian equations and nonlinear equations (the sixth Painlevé equation and the Garnier systems) which appear as deformation equations of the scalar Fuchsian equations. The classical results for nonlinear equations are supplemented with existence theorems for inverse monodromy problems.
reviewed by: Galina Filipuk
Mathematics Subject Classification ID: 34M35
Mathematics Subject Classification ID: 34M55
zbMATH DE Number: 5621330
zbMATH Keywords: Fuchsian equations
zbMATH Keywords: apparent singularities
zbMATH Keywords: the sixth Painlevé equation
zbMATH Keywords: Garnier systems
author: R. Gontsov
MaRDI profile type: Publication
cites work: Vector bundles associated with monodromies and asymptotics of Fuchsian systems
cites work: On the tau-function for the Schlesinger equation of isomonodromic deformations.
description: scientific article; zbMATH DE number 5621330