{
  "id": "1312.0927",
  "version": "v1",
  "published": "2013-12-03T20:40:32.000Z",
  "updated": "2013-12-03T20:40:32.000Z",
  "title": "Invariant sets near singularities of holomorphic foliations",
  "authors": [
    "César Camacho",
    "Rudy Rosas"
  ],
  "categories": [
    "math.DS"
  ],
  "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 $p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-03T20:40:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "holomorphic foliations",
      "singularity",
      "dimensional manifold singular",
      "dimensional foliation",
      "complex surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.0927C"
    }
  }
}