{
  "id": "0805.1767",
  "version": "v2",
  "published": "2008-05-13T17:18:22.000Z",
  "updated": "2008-10-25T19:18:55.000Z",
  "title": "Singularities on normal varieties",
  "authors": [
    "Tommaso de Fernex",
    "Christopher D. Hacon"
  ],
  "comment": "21 pages; v2: final version (minor changes), to appear in Compositio Mathematica",
  "doi": "10.1112/S0010437X09003996",
  "categories": [
    "math.AG",
    "math.AC"
  ],
  "abstract": "In this paper we generalize the definitions of singularities of pairs and multiplier ideal sheaves to pairs on arbitrary normal varieties, without any assumption on the variety being Q-Gorenstein or the pair being log Q-Gorenstein. The main features of the theory extend to this setting in a natural way.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-25T19:18:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14J17",
      "14E15"
    ],
    "keywords": [
      "singularities",
      "arbitrary normal varieties",
      "multiplier ideal sheaves",
      "log q-gorenstein",
      "main features"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1767D"
    }
  }
}