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Constant milnor number implies constant multiplicity for quasihomogeneous singularities
Authors:Gert -Martin Greuel
Affiliation:(1) Fachbereich Mathematik der Universität Kaiserslautern, Erwin-Schrödinger-Strasse, D-6750 Kaiserslautern
Abstract:We show that for certain topologically trivial deformations of an isolated hypersurface singularity the multiplicity does not change. This applies to all mgr-constant ldquofirst orderrdquo deformations and to all mgr-constant deformations of a quasihomogeneous singularity.Partially supported by the Deutsche Forschungsgemeinschaft and the National Science Foundation
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