{
  "id": "math/0311068",
  "version": "v2",
  "published": "2003-11-05T20:54:00.000Z",
  "updated": "2005-03-30T05:28:24.000Z",
  "title": "Equivariant completions of toric contraction morphisms",
  "authors": [
    "Osamu Fujino"
  ],
  "comment": "21 pages; typos were corrected, new remarks were added",
  "categories": [
    "math.AG"
  ],
  "abstract": "We treat equivariant completions of toric contraction morphisms as an application of the toric Mori theory. For this purpose, we generalize the toric Mori theory for non-$\\mathbb Q$-factorial toric varieties. So, our theory seems to be quite different from Reid's original combinatorial toric Mori theory. We also explain various examples of non-$\\mathbb Q$-factorial contractions, which imply that the $\\mathbb Q$-factoriality plays an important role in the Minimal Model Program. Thus, this paper completes the foundations of the toric Mori theory and show us a new aspect of the Minimal Model Program.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-03-30T05:28:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14E30"
    ],
    "keywords": [
      "toric contraction morphisms",
      "equivariant completions",
      "minimal model program",
      "reids original combinatorial toric mori",
      "original combinatorial toric mori theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11068F"
    }
  }
}