单平面源的映射类群
Mapping Class Group d'un germe de courbe plane singulière
摘要:
证明了复平面上奇异全纯曲线芽之间的拓扑共轭同伦于另一个共轭,该共轭同胚地扩张到它们的最小去奇异化的例外因子.作为应用,我们给出了这种奇点芽的映射类群的有限指数子群的显式表示。
英文摘要:
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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