{
  "id": "1009.3188",
  "version": "v2",
  "published": "2010-09-16T14:47:28.000Z",
  "updated": "2012-02-03T12:51:19.000Z",
  "title": "New outlook on the Minimal Model Program, I",
  "authors": [
    "Paolo Cascini",
    "Vladimir Lazić"
  ],
  "comment": "to appear in Duke Math. J",
  "journal": "Duke Math. J. 161 (2012), no. 12, 2415-2467",
  "categories": [
    "math.AG"
  ],
  "abstract": "We give a new and self-contained proof of the finite generation of adjoint rings with big boundaries. As a consequence, we show that the canonical ring of a smooth projective variety is finitely generated.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-03T12:51:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30",
      "14E99"
    ],
    "keywords": [
      "minimal model program",
      "finite generation",
      "adjoint rings",
      "big boundaries",
      "smooth projective variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.3188C"
    }
  }
}