{
  "id": "math/0204243",
  "version": "v2",
  "published": "2002-04-19T13:53:09.000Z",
  "updated": "2003-03-06T15:19:26.000Z",
  "title": "Polarized Pushouts for Finite Fields",
  "authors": [
    "Sean Keel"
  ],
  "comment": "Final Version. To appear in K60 volume of Communications in Algebra",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let p: Y--> X be a surjection between schemes projective over the algebraic closure of a finite field. Let L be a line bundle on X such that p^*(L) is globally generated. I give a natural necessary and sufficient condition under which some positive tensor power of L is globally generated. I apply this to give a sufficient condition for semi-ampleness of nef line bundles on the moduli space of stable pointed curves, in positive characteristic.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-03-06T15:19:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite field",
      "polarized pushouts",
      "sufficient condition",
      "nef line bundles",
      "moduli space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......4243K"
    }
  }
}