{
  "id": "1104.5628",
  "version": "v2",
  "published": "2011-04-29T13:49:12.000Z",
  "updated": "2015-06-09T10:48:28.000Z",
  "title": "Cartier and Weil Divisors on Varieties with Quotient Singularities",
  "authors": [
    "Enrique Artal Bartolo",
    "Jorge Martín-Morales",
    "Jorge Ortigas-Galindo"
  ],
  "comment": "16 pages",
  "journal": "Internat. J. Math. 25 (2014), no. 11, 1450100, 20 pp",
  "doi": "10.1142/S0129167X14501006",
  "categories": [
    "math.AG"
  ],
  "abstract": "The main goal of this paper is to show that the notions of Weil and Cartier $\\mathbb{Q}$-divisors coincide for $V$-manifolds and give a procedure to express a rational Weil divisor as a rational Cartier divisor. The theory is illustrated on weighted projective spaces and weighted blow-ups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-29T13:49:12.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-09T10:48:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S25",
      "32S45"
    ],
    "keywords": [
      "quotient singularities",
      "rational weil divisor",
      "rational cartier divisor",
      "divisors coincide",
      "main goal"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "World Scientific"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.5628A"
    }
  }
}