{
  "id": "math/0511134",
  "version": "v1",
  "published": "2005-11-05T16:17:15.000Z",
  "updated": "2005-11-05T16:17:15.000Z",
  "title": "The Grothendieck-Lefschetz theorem for normal projective varieties",
  "authors": [
    "G. V. Ravindra",
    "V. Srinivas"
  ],
  "comment": "21 pages, no figures, to appear in J. Algebraic Geometry",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that for a normal projective variety $X$ in characteristic 0, and a base-point free ample line bundle $L$ on it, the restriction map of divisor class groups $\\Cl(X)\\to \\Cl(Y)$ is an isomorphism for a general member $Y\\in |L|$ provided that $\\dim{X}\\geq 4$. This is a generalization of the Grothendieck-Lefschetz Theorem, for divisor class groups of singular varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-05T16:17:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "normal projective variety",
      "grothendieck-lefschetz theorem",
      "divisor class groups",
      "base-point free ample line bundle",
      "singular varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11134R"
    }
  }
}