{
  "id": "math/0702554",
  "version": "v7",
  "published": "2007-02-19T16:00:58.000Z",
  "updated": "2010-09-14T13:01:33.000Z",
  "title": "Counterexamples to the Kawamata-Viehweg Vanishing on Ruled Surfaces in Positive Characteristic",
  "authors": [
    "Qihong Xie"
  ],
  "comment": "15 pages, final version",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give counterexamples to the Kawamata-Viehweg vanishing theorem on ruled surfaces in positive characteristic, and prove that if there is a counterexample to the Kawamata-Viehweg vanishing theorem on a geometrically ruled surface f:X-->C, then either C is a Tango curve or all of sections of f are ample.",
  "revisions": [
    {
      "version": "v7",
      "updated": "2010-09-14T13:01:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J26",
      "14E30"
    ],
    "keywords": [
      "positive characteristic",
      "counterexample",
      "kawamata-viehweg vanishing theorem",
      "tango curve"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2554X"
    }
  }
}