{
  "id": "1211.1100",
  "version": "v2",
  "published": "2012-11-06T04:14:25.000Z",
  "updated": "2013-06-04T02:39:25.000Z",
  "title": "Globally generated vector bundles of rank 2 on a smooth quadric threefold",
  "authors": [
    "Edoardo Ballico",
    "Sukmoon Huh",
    "Francesco Malaspina"
  ],
  "comment": "18 pages; section7 is added; Comments welcome",
  "doi": "10.1016/j.jpaa.2013.05.005",
  "categories": [
    "math.AG"
  ],
  "abstract": "We investigate the existence of globally generated vector bundles of rank 2 with $c_1\\leq 3$ on a smooth quadric threefold and determine their Chern classes. As an automatic consequence, every rank 2 globally generated vector bundle on $Q$ with $c_1=3$ is an odd instanton up to twist.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-04T02:39:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F99",
      "14J99"
    ],
    "keywords": [
      "globally generated vector bundle",
      "smooth quadric threefold",
      "automatic consequence",
      "odd instanton",
      "chern classes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.1100B"
    }
  }
}