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

4 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

@article{de2b47e784544edcaf844f7f4ffd731e,

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.",

author = "Rog{\'e}rio Mol and Rudy Rosas",

year = "2019",

month = jan,

day = "1",

language = "Espa{\~n}ol",

volume = "19",

pages = "76--96",

journal = "Journal of Singularities",

issn = "1949-2006",

}

TY - JOUR

T1 - Differentiable equisingularity of holomorphic foliations

AU - Mol, Rogério

AU - Rosas, Rudy

PY - 2019/1/1

Y1 - 2019/1/1

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

ER -