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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

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.

Idioma original	Español
Páginas (desde-hasta)	76-96
Número de páginas	21
Publicación	Journal of Singularities
Volumen	19
Estado	Publicada - 1 ene. 2019

Citar esto

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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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year = "2019",

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T1 - Differentiable equisingularity of holomorphic foliations

AU - Mol, Rogério

AU - Rosas, Rudy

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N2 - 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.

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.

M3 - Artículo

SN - 1949-2006

VL - 19

SP - 76

EP - 96

JO - Journal of Singularities

JF - Journal of Singularities

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