Invariant sets near singularities of holomorphic foliations

César Camacho; Rudy Rosas

Invariant sets near singularities of holomorphic foliations

César Camacho, Rudy Rosas

Sección de Matemáticas

Instituto Nacional de Matematica Pura E Aplicada, Rio de Janeiro

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

6 Citas (Scopus)

Resumen

Consider a complex one-dimensional foliation on a complex surface near a singularity p. If I is a closed invariant set containing the singularity p, then I contains either a separatrix at p or an invariant real three-dimensional manifold singular at p.

Idioma original	Español
Páginas (desde-hasta)	2408-2418
Número de páginas	11
Publicación	Ergodic Theory and Dynamical Systems
Volumen	36
Estado	Publicada - 1 dic. 2016

Citar esto

@article{ae151c1e9c01416284be71740d187810,

title = "Invariant sets near singularities of holomorphic foliations",

abstract = "Consider a complex one-dimensional foliation on a complex surface near a singularity p. If I is a closed invariant set containing the singularity p, then I contains either a separatrix at p or an invariant real three-dimensional manifold singular at p.",

author = "C{\'e}sar Camacho and Rudy Rosas",

year = "2016",

month = dec,

day = "1",

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

volume = "36",

pages = "2408--2418",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

}

TY - JOUR

T1 - Invariant sets near singularities of holomorphic foliations

AU - Camacho, César

AU - Rosas, Rudy

PY - 2016/12/1

Y1 - 2016/12/1

N2 - Consider a complex one-dimensional foliation on a complex surface near a singularity p. If I is a closed invariant set containing the singularity p, then I contains either a separatrix at p or an invariant real three-dimensional manifold singular at p.

AB - Consider a complex one-dimensional foliation on a complex surface near a singularity p. If I is a closed invariant set containing the singularity p, then I contains either a separatrix at p or an invariant real three-dimensional manifold singular at p.

M3 - Artículo

SN - 0143-3857

VL - 36

SP - 2408

EP - 2418

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

ER -