{
  "id": "math/0612512",
  "version": "v1",
  "published": "2006-12-18T13:34:53.000Z",
  "updated": "2006-12-18T13:34:53.000Z",
  "title": "Monads and Vector Bundles on Quadrics",
  "authors": [
    "F. Malaspina"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We improve Ottaviani's splitting criterion for vector bundles on a quadric hypersurface and obtain the equivalent of the result by Rao, Mohan Kumar and Peterson. Then we give the classification of rank 2 bundles without \"inner\" cohomology on Q_n (n>3). It surprisingly exactly agrees with the classification by Ancona, Peternell and Wisniewski of rank 2 Fano bundles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-18T13:34:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14J60"
    ],
    "keywords": [
      "vector bundles",
      "ottavianis splitting criterion",
      "classification",
      "fano bundles",
      "quadric hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12512M"
    }
  }
}