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Construction of foliations with prescribed separatrix

Published online by Cambridge University Press:  01 June 2008

YOHANN GENZMER
YOHANN GENZMER*
Affiliation:
I.M.T., Université Paul Sabatier 118 Route de Narbonne 31062, Toulouse Cedex, France (email: genzmer@math.ups-tlse.fr)
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Abstract

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A germ of a singular foliation in $\mathbb {C}^2$ is built, with its analytical class of separatrix and holonomy representations prescribed. Thanks to this construction, we study the link between the moduli space of a foliation and the moduli space of its separatrix.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 3 , June 2008, pp. 817 - 842
Copyright
Copyright © Cambridge University Press 2008

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