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Mapping class group of a plane curve germ. (English) Zbl 1273.32034
Summary: We prove that every topological conjugacy between two germs of singular holomorphic curves in the complex plane is homotopic to another conjugacy which extends homeomorphically to the exceptional divisors of their minimal desingularisations. As an application we give an explicit presentation of a finite index subgroup of the mapping class group of the germ of such a singularity.

MSC:
32S05 Local complex singularities
32S45 Modifications; resolution of singularities (complex-analytic aspects)
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