Confluence of general Schlesinger systems and twistor theory
type: Item
instance of: scholarly article
title: Confluence of general Schlesinger systems and twistor theory
zbMATH Open document ID: 1369.34108
author: Hironobu Kimura
author: Damiran Tseveennamjil
published in: Hiroshima Mathematical Journal
publication date: 2017-03-27T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.hmj/1487991623
review text: In this paper, the authors show the confluence of the general Schlesinger systems (GSS) using the view point of twistor theory (see Theorem 3.5). This confluence theory is for a general situation of the confluences of linear systems associated with the Painlevé equations. As examples, the Painlevé cases are demonstrated in Section 4.
Mathematics Subject Classification ID: 34M56
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 33E17
zbMATH DE Number: 6697311
zbMATH Keywords: isomonodromic deformation
zbMATH Keywords: twistor theory
zbMATH Keywords: confluence
zbMATH Keywords: Painlevé equation
reviewed by: Nakazono Nobutaka
MaRDI profile type: Publication
OpenAlex ID: W2604358291
Wikidata QID: Q128870985
DOI: 10.32917/HMJ/1487991623
description: scientific article; zbMATH DE number 6697311