Invariant sets near singularities of holomorphic foliations

Author:

CAMACHO CÉSAR,ROSAS RUDY

Abstract

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

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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