A construction of maximal modular subspaces in local deformation theory
type: Item
instance of: scholarly article
title: A construction of maximal modular subspaces in local deformation theory
zbMATH Open document ID: 0733.32017
DOI: 10.1007/BF02941045
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1990-01-01T00:00:00Z
review text: The authors study the question of universality of semi-universal deformations in a rather general setting. Their aim is to prove, under suitable assumptions, the existence of the maximal subspace R in the base space such that the restriction to this subspace is universal. This was carried out in the framework of operators of group germs on finite or infinite dimensional spaces. The authors use PO-spaces and PO-Lie groups as developed by J. Bingener and S. Kosarew [\textit{J. Bingener}, Lokale Modulräume in der analytischen Geometrie. Band 1 und 2. (1987; Zbl 0644.32001)]. Several characterizations of the modular subspace R are also given.
Mathematics Subject Classification ID: 32G05
Mathematics Subject Classification ID: 14D22
zbMATH DE Number: 4212443
zbMATH Keywords: universality
zbMATH Keywords: semi-universal deformations
author: Siegmund Kosarew
author: Harald Stieber
reviewed by: Eiji Horikawa
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4212443