Construction of foliations with prescribed separatrix

2006/05/30 by Y. Genzmer, Genzmer, Y.
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.math/0605755

arxiv created 2006/05/30 · arxiv updated 2009/12/01

Abstract

We build a germ of singular foliation in dimension two with analytical class of separatrix and holonomy representations prescribed. Thanks to this construction, we study the link between moduli of a foliation and moduli of its separatrix.

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