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Construction of foliations with prescribed separatrix

Y. Genzmer
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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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Y. Genzmer. 2006-05-30. Construction of foliations with prescribed separatrix. https://arxiv.org/abs/math/0605755

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