{
  "id": "0807.2323",
  "version": "v1",
  "published": "2008-07-15T09:22:27.000Z",
  "updated": "2008-07-15T09:22:27.000Z",
  "title": "On Fano manifolds with a birational contraction sending a divisor to a curve",
  "authors": [
    "C. Casagrande"
  ],
  "comment": "24 pages, 6 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be a smooth Fano variety of dimension at least 4. We show that if X has an elementary birational contraction sending a divisor to a curve, then the Picard number of X is smaller or equal to 5.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-15T09:22:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14E30"
    ],
    "keywords": [
      "fano manifolds",
      "smooth fano variety",
      "elementary birational contraction sending",
      "picard number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.2323C"
    }
  }
}