{
  "id": "0707.4310",
  "version": "v2",
  "published": "2007-07-30T18:30:57.000Z",
  "updated": "2007-10-09T08:03:26.000Z",
  "title": "Cohomological characterizations of projective spaces and hyperquadrics",
  "authors": [
    "Carolina Araujo",
    "Stéphane Druel",
    "Sándor J. Kovács"
  ],
  "comment": "Added Lemma 2.8 and slightly changed proof of Lemma 6.2 to make them apply for torsion-free sheaves and not only to vector bundles",
  "doi": "10.1007/s00222-008-0130-1",
  "categories": [
    "math.AG"
  ],
  "abstract": "We confirm Beauville's conjecture that claims that if the p-th exterior power of the tangent bundle of a smooth projective variety contains the p-th power of an ample line bundle, then the variety is either the projective space or the p-dimensional quadric hypersurface.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-10-09T08:03:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M20"
    ],
    "keywords": [
      "projective space",
      "cohomological characterizations",
      "hyperquadrics",
      "smooth projective variety contains",
      "ample line bundle"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2008,
      "month": "Aug",
      "volume": 174,
      "number": 2,
      "pages": 233
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008InMat.174..233A"
    }
  }
}