A remark on the canonical decomposition of a connection at an irregular singular point
type: Item
instance of: scholarly article
title: A remark on the canonical decomposition of a connection at an irregular singular point
zbMATH Open document ID: 1009.12004
DOI: 10.1007/BF02941675
author: Yanyan Li
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 2003-02-13T00:00:00Z
review text: The author gives a short and simple argument for a new proof Malgrange's theorem: If \(\nabla\) is an absolute integrable connection on \(R\equiv Cx_1,x_2, \dots, x_n((y))\), then the Levelt-Turretin decomposition of the \(R\)-relative connection \(\nabla_{\text{rel}}\) after ramification \(y^{1/N}\) is stabilized by \(\nabla\).
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 34M35
zbMATH DE Number: 1868558
zbMATH Keywords: Malgrange's theorem
zbMATH Keywords: integrable connection
zbMATH Keywords: Levelt-Turretin decomposition
reviewed by: Mykola Grygorenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1868558