{
  "id": "math/0301251",
  "version": "v1",
  "published": "2003-01-22T18:39:22.000Z",
  "updated": "2003-01-22T18:39:22.000Z",
  "title": "Seshadri Constants and the geometry of surfaces",
  "authors": [
    "Michael Nakamaye"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We examine how the Seshadri constant of an ample line bundle at a very general point of an algebraic surface can carry important global geometric information about the surface. In particular, we obtain a numerical criterion for when a surface admits a dominant map to an algebraic curve.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-22T18:39:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "seshadri constant",
      "carry important global geometric information",
      "ample line bundle",
      "algebraic curve",
      "general point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......1251N"
    }
  }
}