Invariant sets near singularities of holomorphic foliations

César Camacho; Rudy Rosas

doi:10.1017/etds.2015.23

Invariant sets near singularities of holomorphic foliations

César Camacho
, Rudy Rosas

Sección de Matemáticas

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

8 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	Inglés
Páginas (desde-hasta)	2408-2418
Número de páginas	11
Publicación	Ergodic Theory and Dynamical Systems
Volumen	36
N.º	8
DOI	https://doi.org/10.1017/etds.2015.23
Estado	Publicada - 1 dic. 2016

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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",

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AU - Rosas, Rudy

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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.

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Invariant sets near singularities of holomorphic foliations

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