{
  "id": "1001.3340",
  "version": "v2",
  "published": "2010-01-19T15:58:33.000Z",
  "updated": "2011-09-28T08:10:18.000Z",
  "title": "Pluricanonical systems for 3-folds and 4-folds of general type",
  "authors": [
    "Lorenzo Di Biagio"
  ],
  "comment": "25 pages. Minor corrections and improved exposition. To appear in Mathematical Proceedings of the Cambridge Philosophical Society",
  "journal": "Math. Proc. Camb. Phil. Soc. (2012), vol. 152, issue 01, pp. 9-34",
  "doi": "10.1017/S0305004111000648",
  "categories": [
    "math.AG"
  ],
  "abstract": "We explicitly find lower bounds on the volume of threefolds and fourfolds of general type in order to have nonvanishing of pluricanonical systems and birationality of pluricanonical maps. In the case of threefolds of large volume, we also give necessary and sufficient conditions for the fourth canonical map to be birational.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-28T08:10:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E05",
      "14J30",
      "14J35"
    ],
    "keywords": [
      "general type",
      "pluricanonical systems",
      "threefolds",
      "lower bounds",
      "large volume"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.3340D"
    }
  }
}