{
  "id": "0807.1645",
  "version": "v3",
  "published": "2008-07-10T13:15:41.000Z",
  "updated": "2008-10-10T17:45:59.000Z",
  "title": "Schwarzenberger bundles of arbitary rank on the projective space",
  "authors": [
    "Enrique Arrondo"
  ],
  "comment": "v3 is the submitted version of the paper. It differs from v2 in the correction of some typos, the reconstruction of the proof of Lemma 3.6, and that now it is re-written in LaTeX",
  "categories": [
    "math.AG"
  ],
  "abstract": "We introduce a generalized notion of Schwarzenberger bundle on the projective space. Associated to this more general definition, we give an ad-hoc notion of jumping subspaces of a Steiner bundle on ${\\Bbb P^n}$ (which in rank $n$ coincides with the notion of unstable hyperplane introduced by Vall\\`es, Ancona and Ottaviani). For the set of jumping hyperplanes, we find a sharp bound for its dimension. We also classify those Steiner bundles whose set of jumping hyperplanes have maximal dimension and prove that they are generalized Schwarzenberger bundles.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-10-10T17:45:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "14N05"
    ],
    "keywords": [
      "projective space",
      "arbitary rank",
      "steiner bundle",
      "jumping hyperplanes",
      "sharp bound"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.1645A"
    }
  }
}