{
  "id": "1206.6189",
  "version": "v2",
  "published": "2012-06-27T07:16:44.000Z",
  "updated": "2013-10-21T14:22:56.000Z",
  "title": "Rational curves with one place at infinity",
  "authors": [
    "Abdallah Assi"
  ],
  "comment": "Accepted for publication in the Proceedings of Trento conference on Groups of Automorphisms in Birational and Affine Geometry",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let K be an algebraically closed field of characteristic zero. Given a polynomial f(x,y) in K[x,y] with one place at infinity, we prove that either f is equivalent to a coordinate, or the family (f+c) has at most two rational elements. When (f+c) has two rational elements, we give a description of the singularities of these elements.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-21T14:22:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational curves",
      "rational elements",
      "characteristic zero",
      "polynomial"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.6189A"
    }
  }
}