{
  "id": "0902.2868",
  "version": "v2",
  "published": "2009-02-17T09:02:20.000Z",
  "updated": "2010-05-31T08:40:30.000Z",
  "title": "Existence of non-algebraic singularities of differential equation",
  "authors": [
    "Yohann Genzmer",
    "Loïc Teyssier"
  ],
  "comment": "11 pages",
  "journal": "Journal of Differential Equations 248, 5 (2010) 1256-1267",
  "doi": "10.1016/j.jde.2009.10.001",
  "categories": [
    "math.DS"
  ],
  "abstract": "An algebraizable singularity is a germ of a singular holomorphic foliation which can be defined in some appropriate local chart by a differential equation with algebraic coefficients. We show that there exists at least countably many saddle-node singularities of the complex plane that are not algebraizable.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-05-31T08:40:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "differential equation",
      "non-algebraic singularities",
      "singular holomorphic foliation",
      "appropriate local chart",
      "complex plane"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Differential Equations",
      "year": 2010,
      "volume": 248,
      "number": 5,
      "pages": 1256
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JDE...248.1256G"
    }
  }
}