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Equisingular Deformations of Sandwiched Singularities

Published online by Cambridge University Press:  04 December 2007

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.

Type
Research Article
Copyright
© 2003 Kluwer Academic Publishers