Differentiable equisingularity of holomorphic foliations

Rogério Mol; Rudy Rosas

Differentiable equisingularity of holomorphic foliations

Rogério Mol
, Rudy Rosas

Sección de Matemáticas

Universidade Federal de Minas Gerais

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We prove that a C∞ equivalence between germs of holomorphic foliations at (C2, 0) establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.

Original language	Spanish
Pages (from-to)	76-96
Number of pages	21
Journal	Journal of Singularities
Volume	19
State	Published - 1 Jan 2019

Cite this

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title = "Differentiable equisingularity of holomorphic foliations",

abstract = "We prove that a C∞ equivalence between germs of holomorphic foliations at (C2, 0) establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.",

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AU - Rosas, Rudy

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AB - We prove that a C∞ equivalence between germs of holomorphic foliations at (C2, 0) establishes a bijection between the sets of formal separatrices preserving equisingularity classes. As a consequence, if one of the foliations is of second type, so is the other and they are equisingular.

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VL - 19

SP - 76

EP - 96

JO - Journal of Singularities

JF - Journal of Singularities

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