{
  "id": "math/0510679",
  "version": "v2",
  "published": "2005-10-31T14:30:56.000Z",
  "updated": "2006-01-11T16:41:11.000Z",
  "title": "Smooth complete toric threefolds with no nontrivial nef line bundles",
  "authors": [
    "Osamu Fujino",
    "Sam Payne"
  ],
  "comment": "8 pages. This is an improved version of the second author's preprint math.AG/0501204 v2: minor revisions. To appear in Proc. Japan Acad. Ser. A",
  "journal": "Proc. Japan Acad. Ser. A Math. Sci. 81 (2005), no. 10, 174--179 (2006).",
  "categories": [
    "math.AG"
  ],
  "abstract": "We describe all of the smooth complete toric threefolds of Picard number 5 with no nontrivial nef line bundles, and show that no such examples exist with Picard number less than 5.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-01-11T16:41:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14C20"
    ],
    "keywords": [
      "smooth complete toric threefolds",
      "nontrivial nef line bundles",
      "picard number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10679F"
    }
  }
}