Hostname: page-component-7bb8b95d7b-lvwk9 Total loading time: 0 Render date: 2024-09-21T00:36:31.832Z Has data issue: false hasContentIssue false
  • English
  • Français

Equisingular Deformations of Sandwiched Singularities

Published online by Cambridge University Press:  04 December 2007

Trond Stølen Gustavsen
Trond Stølen Gustavsen
Affiliation:
Agder University College, Faculty of Engineering and Science, Grooseveien 36, N-4876 Grimstad, Norway. e-mail: trond.gustavsen@hia.no
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We relate the equisingular deformation theory of plane curve singularities and sandwiched surface singularities. We show the existence of a smooth map between the two corresponding deformation functors and study the kernel of this map. In particular we show that the map is an isomorphism when a certain invariant is large enough.

Keywords

deformationsequisingularityplane curve singularitiesrational surface singularitiessandwiched singularities
Type
Research Article
Information
Compositio Mathematica , Volume 138 , Issue 2 , September 2003 , pp. 199 - 231
Copyright
© 2003 Kluwer Academic Publishers