{
  "id": "math/0102201",
  "version": "v1",
  "published": "2001-02-26T20:30:20.000Z",
  "updated": "2001-02-26T20:30:20.000Z",
  "title": "Singularities of Pairs via Jet Schemes",
  "authors": [
    "Mircea Mustata"
  ],
  "comment": "21 pages; LaTeX",
  "journal": "J. Amer. Math. Soc. 15 (2002), 599-615.",
  "categories": [
    "math.AG"
  ],
  "abstract": "Let X be a smooth variety and Y a closed subscheme of X. By comparing motivic integrals on X and on a log resolution of (X,Y), we prove the following formula for the log canonical threshold of (X,Y): c(X,Y)=dim X-sup_m{(dim Y_m}/(m+1)}, where Y_m is the mth jet scheme of Y. We show how this formula can be used to study the log canonical threshold. In particular, we give a proof of the Semicontinuity theorem of Demailly and Koll\\'ar.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-02-26T20:30:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14E15"
    ],
    "keywords": [
      "log canonical threshold",
      "singularities",
      "mth jet scheme",
      "comparing motivic integrals",
      "semicontinuity theorem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "J. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......2201M"
    }
  }
}