{
  "id": "math/0002252",
  "version": "v1",
  "published": "2000-02-29T18:40:40.000Z",
  "updated": "2000-02-29T18:40:40.000Z",
  "title": "Birational properties of pencils of del Pezzo surfaces of degree 1 and 2",
  "authors": [
    "Mikhail Grinenko"
  ],
  "comment": "AmsLatex, 22 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the birational rigidity problem for smooth Mori fibrations on del Pezzo surfaces of degree 1 and 2. For degree 1 we obtain a complete description of rigid and non-rigid cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-02-29T18:40:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E07",
      "14E05",
      "14E08"
    ],
    "keywords": [
      "del pezzo surfaces",
      "birational properties",
      "birational rigidity problem",
      "smooth mori fibrations",
      "complete description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}