論文

2016年11月

Confluence of general Schlesinger systems and Twistor theory

HIROSHIMA MATHEMATICAL JOURNAL
  • Hironobu Kimura
  • ,
  • Damiran Tseveennamjil

46
3
開始ページ
289
終了ページ
309
記述言語
英語
掲載種別
研究論文(学術雑誌)
出版者・発行元
HIROSHIMA UNIV, GRAD SCH SCI

We give a description of confluence for the general Schlesinger systems (GSS) from the view point of twistor theory. GSS is a system of nonlinear differential equations on the Grassmannian manifold G(2,N)(C) which is obtained, for any partition lambda of N, as the integrability condition of a connection del(lambda) on P-1 x G(2,N) constructed using the twistor-theoretic point of view and is known to describe isomonodromic deformation of linear differential equations on the projective space P-1. For a pair of partitions lambda, mu of N such that mu is obtained from lambda by making two parts into one parts and leaving other parts unchanged, we construct the limit process del(lambda) -> del(mu) and as a result the confluence for GSS.

Web of Science ® 被引用回数 : 1

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000398272700003&DestApp=WOS_CPL
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85014046212&origin=inward

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