{
  "id": "0805.4181",
  "version": "v1",
  "published": "2008-05-27T17:42:14.000Z",
  "updated": "2008-05-27T17:42:14.000Z",
  "title": "A degree bound for globally generated vector bundles",
  "authors": [
    "José Carlos Sierra"
  ],
  "comment": "9 pages, to appear in Mathematische Zeitschrift",
  "categories": [
    "math.AG"
  ],
  "abstract": "We obtain a sharp bound on the degree of a globally generated vector bundle over a reduced irreducible projective variety defined over an algebraically closed field of characteristic zero. As an application, we obtain a Del Pezzo-Bertini type theorem on varieties of minimal degree for subvarieties of Grassmannians.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-27T17:42:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "globally generated vector bundle",
      "degree bound",
      "irreducible projective variety",
      "del pezzo-bertini type theorem",
      "sharp bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.4181S"
    }
  }
}