{
  "id": "math/0504595",
  "version": "v2",
  "published": "2005-04-29T17:14:57.000Z",
  "updated": "2005-12-09T12:15:20.000Z",
  "title": "Pfaffian Lines and Vector Bundles on Fano Threefolds of Genus 8",
  "authors": [
    "Atanas Iliev",
    "Laurent Manivel"
  ],
  "comment": "25 pages, LaTeX; to appear in J.Alg.Geom",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be a general complex Fano threefold of genus 8. We prove that the moduli space of rank two semistable sheaves on X with Chern numbers c_1=1, c_2=6 and c_3=0 is isomorphic to the Fano surface F(X) of conics on X. Inside F(X), the non-locally free sheaves are parameterized by a smooth curve of genus 26 isomorphic to the base of the family of lines on X.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-12-09T12:15:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J30",
      "14F05"
    ],
    "keywords": [
      "vector bundles",
      "pfaffian lines",
      "general complex fano threefold",
      "moduli space",
      "isomorphic"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4595I"
    }
  }
}