{
  "id": "math/0405221",
  "version": "v2",
  "published": "2004-05-12T12:31:42.000Z",
  "updated": "2004-10-18T11:59:35.000Z",
  "title": "On factoriality of nodal threefolds",
  "authors": [
    "Ivan Cheltsov"
  ],
  "comment": "28 pages, in the last version we change the introduction",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove the $\\mathbb{Q}$-factoriality of a nodal hypersurface in $\\mathbb{P}^{4}$ of degree $n$ with at most ${\\frac{(n-1)^{2}}{4}}$ nodes and the $\\mathbb{Q}$-factoriality of a double cover of $\\mathbb{P}^{3}$ branched over a nodal surface of degree $2r$ with at most ${\\frac{(2r-1)r}{3}}$ nodes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-10-18T11:59:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J30",
      "14J17",
      "14J70",
      "14E07",
      "14E08",
      "14J45"
    ],
    "keywords": [
      "nodal threefolds",
      "factoriality",
      "nodal hypersurface"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5221C"
    }
  }
}