{
  "id": "math/0001183",
  "version": "v2",
  "published": "2000-01-31T16:11:39.000Z",
  "updated": "2001-04-21T16:15:31.000Z",
  "title": "A characterization of semiampleness and contractions of relative curves",
  "authors": [
    "Stefan Schroeer"
  ],
  "comment": "6 pages. Minor changes. To appear in Kodai Math. J",
  "journal": "Kodai Math. J. 24 (2001), 207--213",
  "categories": [
    "math.AG"
  ],
  "abstract": "A line bundle with a base-point-free multiple is called semiample. I give a cohomological characterization of semiample line bundles. The result is a common generalization of the Fujita-Zariski criterion for semiampleness and the Grothendieck-Serre characterization of ampleness. Applying the Fujita-Zariski Theorem, I characterize contractible curves in 1-dimensional families.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-21T16:15:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14A15",
      "14C20",
      "14H10"
    ],
    "keywords": [
      "relative curves",
      "semiampleness",
      "contractions",
      "semiample line bundles",
      "common generalization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......1183S"
    }
  }
}