Mapping class group of a plane curve germ |
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| Authors: | David Marí n,Jean-Franç ois Mattei |
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| Affiliation: | a Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain
b Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118, Route de Narbonne, F-31062 Toulouse Cedex 9, France |
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| Abstract: | 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. |
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| Keywords: | Plane curve singularities Mapping class group |
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