{
  "id": "math/0509086",
  "version": "v4",
  "published": "2005-09-05T03:53:21.000Z",
  "updated": "2006-05-23T07:57:42.000Z",
  "title": "Effective Non-vanishing for Algebraic Surfaces in Positive Characteristic",
  "authors": [
    "Qihong Xie"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a theorem on the effective non-vanishing problem for algebraic surfaces in positive characteristic. For the Kawamata-Viehweg vanishing, the logarithmic Kollar vanishing and the logarithmic semipositivity, we give their counterexamples on ruled surfaces in positive characteristic.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-05-23T07:57:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J26",
      "14E30"
    ],
    "keywords": [
      "positive characteristic",
      "algebraic surfaces",
      "logarithmic semipositivity",
      "kawamata-viehweg",
      "effective non-vanishing problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9086X"
    }
  }
}