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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: [email protected]
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Abstract

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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