{
  "id": "1306.6008",
  "version": "v3",
  "published": "2013-06-25T15:48:47.000Z",
  "updated": "2014-10-15T06:55:57.000Z",
  "title": "Rank two aCM bundles on the del Pezzo threefold with Picard number 3",
  "authors": [
    "Gianfranco Casnati",
    "Daniele Faenzi",
    "Francesco Malaspina"
  ],
  "comment": "24 pages. Some minor misprints corrected, a new remark on rational normal curves of degree 7 inserted",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "Let k be an algebraically closed field of characteristic 0. A del Pezzo threefold F with maximal Picard number is isomorphic to P^1xP^1xP^1, where P^1 is the projective line over k. In the present paper we completely classify locally free sheaves of rank 2 with vanishing intermediate cohomology over such an F. Such a classification extends similar results proved by E. Arrondo and L. Costa regarding del Pezzo threefolds with Picard number 1.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-25T08:55:39.000Z",
      "comment": "23 pages. Some misprints and typos corrected, a new table inserted, proof of Proposition 4.2 corrected, new refernces added",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-15T06:55:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J60",
      "14J45"
    ],
    "keywords": [
      "acm bundles",
      "costa regarding del pezzo threefolds",
      "classification extends similar results",
      "maximal picard number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1306.6008C"
    }
  }
}