A rank theorem for analytic maps between power series spaces
type: Item
instance of: scholarly article
title: A rank theorem for analytic maps between power series spaces
zbMATH Open document ID: 0831.58008
DOI: 10.1007/BF02698897
author: Herwig Hauser
author: Gerd Müller
published in: Publications Mathématiques
publication date: 1996-02-13T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/104102
review text: The main result is a rank theorem for analytic mappings (induced by substitution) between spaces of convergent power series. This is used to show that certain isotropy groups are Lie subgroups of infinite- dimensional Lie groups. A spectacular consequence of this result is that reduced hypersurface germs of dimension \(\geq 2\) are determined up to isomorphism by their Lie group of embedded automorphisms.
Mathematics Subject Classification ID: 58C10
Mathematics Subject Classification ID: 58D05
zbMATH DE Number: 753834
zbMATH Keywords: rank theorem
zbMATH Keywords: analytic mappings
reviewed by: Alexandru Dimca
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 753834