{
  "id": "1211.2593",
  "version": "v2",
  "published": "2012-11-12T12:40:30.000Z",
  "updated": "2012-12-13T02:33:48.000Z",
  "title": "On higher rank globally generated vector bundles over a smooth quadric threefold",
  "authors": [
    "Edoardo Ballico",
    "Sukmoon Huh",
    "Francesco Malaspina"
  ],
  "comment": "26 pages; Comments welcome; Typos corrected",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a complete classification of globally generated vector bundles of rank 3 on a smooth quadric threefold with $c_1\\leq 2$ and extend the result to arbitrary higher rank case. We also investigate the existence of globally generated indecomposable vector bundles, and give the sufficient and necessary conditions on numeric data of vector bundles for indecomposability.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-12-13T02:33:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F99",
      "14J99"
    ],
    "keywords": [
      "higher rank globally generated vector",
      "rank globally generated vector bundles",
      "smooth quadric threefold",
      "generated indecomposable vector bundles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.2593B"
    }
  }
}