{
  "id": "1207.6993",
  "version": "v2",
  "published": "2012-07-30T16:47:11.000Z",
  "updated": "2013-02-12T13:03:12.000Z",
  "title": "Green's Conjecture for curves on rational surfaces with an anticanonical pencil",
  "authors": [
    "Margherita Lelli-Chiesa"
  ],
  "comment": "Final version, to appear in Math. Zeit",
  "categories": [
    "math.AG"
  ],
  "abstract": "Green's conjecture is proved for smooth curves C lying on a rational surface S with an anticanonical pencil, under some mild hypotheses on the line bundle L defined by C. Constancy of Clifford dimension, Clifford index and gonality of curves in the linear system |L| is also obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-12T13:03:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational surface",
      "greens conjecture",
      "anticanonical pencil",
      "smooth curves",
      "mild hypotheses"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.6993L"
    }
  }
}