The deformations of the simple space curve singularities
type: Item
instance of: scholarly article
title: The deformations of the simple space curve singularities
zbMATH Open document ID: 0934.32021
DOI: 10.1007/PL00004672
author: Caren Schröter
author: Sonja Schuba
published in: Mathematische Zeitschrift
publication date: 2000-04-11T00:00:00Z
review text: Marc Giusti classified the simple isolated complete intersection singularities of positive dimension and showed that besides the simple hypersurface singularities there are only simple singularities of curves in complex 3-space. He also gave a list of adjacencies between singularities. Later V. V. Goryunov found some additional adjacencies, but the complete list remained unknown. The authors of this paper show the complete list of adjacencies between the simple space curve singularities which are not hypersurface singularities and complete Giusti's list by two new deformations.
Mathematics Subject Classification ID: 32S30
Mathematics Subject Classification ID: 14B07
zbMATH DE Number: 1336823
zbMATH Keywords: deformation
zbMATH Keywords: space curve
zbMATH Keywords: singularity
reviewed by: Jiancheng Zou
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1336823