{
  "id": "1012.5238",
  "version": "v1",
  "published": "2010-12-23T16:03:09.000Z",
  "updated": "2010-12-23T16:03:09.000Z",
  "title": "Characterizations of projective spaces and hyperquadrics",
  "authors": [
    "Druel Stéphane",
    "Paris Matthieu"
  ],
  "comment": "Supersedes the paper arXiv:1009.1247v2 by the second named author",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we prove that if the r-th tensor power of the tangent bundle of a smooth projective variety X contains the determinant of an ample vector bundle of rank at least r, then X is isomorphic either to a projective space or to a smooth quadric hypersurface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-23T16:03:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M20"
    ],
    "keywords": [
      "projective space",
      "characterizations",
      "hyperquadrics",
      "ample vector bundle",
      "r-th tensor power"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.5238S"
    }
  }
}