Construction of foliations with prescribed separatrix

Details Construction of foliations with prescribed separatrix Construction of foliations with prescribed separatrix

2006-05-30

arxiv.org/abs/math/0605755v1

Mathematics

Dynamical Systems

Scientific paper

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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