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arXiv · 1312.0927

Invariant sets near singularities of holomorphic foliations

César Camacho·Rudy Rosas
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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 $p$.

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César Camacho, Rudy Rosas. 2013-12-03. Invariant sets near singularities of holomorphic foliations. https://doi.org/10.1017/etds.2015.23

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