{
  "id": "0808.0459",
  "version": "v1",
  "published": "2008-08-04T16:31:05.000Z",
  "updated": "2008-08-04T16:31:05.000Z",
  "title": "On the Danilov-Gizatullin Isomorphism Theorem",
  "authors": [
    "Hubert Flenner",
    "Shulim Kaliman",
    "Mikhail Zaidenberg"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "A Danilov-Gizatullin surface is a normal affine surface V, which is a complement to an ample section S in a Hirzebruch surface of index d. By a surprising result due to Danilov and Gizatullin, V depends only on the self-intersection number of S and neither on d nor on S. In this note we provide a new and simple proof of this Isomorphism Theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-04T16:31:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14R05",
      "14R20"
    ],
    "keywords": [
      "danilov-gizatullin isomorphism theorem",
      "normal affine surface",
      "simple proof",
      "ample section",
      "danilov-gizatullin surface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.0459F"
    }
  }
}