Mapping Class Group d'un germe de courbe plane singulière

Details Mapping Class Group d'un germe de courbe plane singulière Mapping Class Group d'un germe de courbe plane singulière

2010-04-15

arxiv.org/abs/1004.2837v1

Mathematics

Dynamical Systems

Scientific paper

We prove that every topological conjugation between two germs of singular holomorphic curves in the complex plane is homotopic to another conjugation which extends homeomorphically to the exceptional divisors of their minimal desingularizations. 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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