Invariant sets near singularities of holomorphic foliations

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.
Autor(es):Camacho, Cesar
Rosas, Rudy
Año: 2015
Título de la revista: Ergodic Theory and Dynamical Systems
Volumen: 36
Número: 8
Página inicial - Página final: 2408–2418
Url: https://www.cambridge.org/core/journals/ergodic-theory-and-dynamical-systems/article/invariant-sets-near-singularities-of-holomorphic-foliations/6BD3DAC9E49CC61A0A82F1671DDCCB43