Analytical and formal classifications of quasi-homogeneous foliations in (C2, 0)

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:245

Article

Genzmer, Yohann

关键词: dynamical system;    holomorphic foliations;    singularities;   

DOI  :  10.1016/j.jde.2008.04.002

来源: Elsevier

【 摘 要 】

We classify the germs of quasi-homogeneous foliations in C-2 with fixed separatrix. In short, we prove that the analytical (resp. formal) class of such a foliation only depends on the analytical (resp. formal) class of its representation of projective holonomy. (C) 2008 Elsevier Inc. All rights reserved.

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