{
  "id": "2103.00537",
  "version": "v1",
  "published": "2021-02-28T15:28:57.000Z",
  "updated": "2021-02-28T15:28:57.000Z",
  "title": "Foliations on $\\mathbb{P}^2$ with only one singular point",
  "authors": [
    "Percy Fernández",
    "Liliana Puchuri",
    "Rudy Rosas"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we study holomorphic foliations on $\\mathbb{P}^2$ with only one singular point. If the singularity has algebraic multiplicity one, we prove that the foliation has no invariant algebraic curve. We also present several examples of such foliations in degree three.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-28T15:28:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F75",
      "32S65",
      "32M25"
    ],
    "keywords": [
      "singular point",
      "invariant algebraic curve",
      "study holomorphic foliations",
      "algebraic multiplicity",
      "singularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}