{
  "id": "math/0205293",
  "version": "v1",
  "published": "2002-05-28T08:58:58.000Z",
  "updated": "2002-05-28T08:58:58.000Z",
  "title": "Stringy invariants of normal surfaces",
  "authors": [
    "Willem Veys"
  ],
  "comment": "22 pages, to appear in J. Alg. Geom",
  "categories": [
    "math.AG"
  ],
  "abstract": "The stringy Euler number and E-function of Batyrev for log terminal singularities can in dimension 2 also be considered for a normal surface singularity with all log discrepancies nonzero in its minimal log resolution. Here we obtain a structure theorem for resolution graphs with respect to log discrepancies, implying that these stringy invariants can be defined in a natural way, even when some log discrepancies are zero, and more precisely for all normal surface singularities which are not log canonical. We also show that the stringy E-functions of log terminal surface singularities are polynomials (with rational powers) with nonnegative coefficients, yielding well defined (rationally graded) stringy Hodge numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-05-28T08:58:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14B05",
      "14J17",
      "32S50"
    ],
    "keywords": [
      "stringy invariants",
      "normal surface singularity",
      "log terminal surface singularities",
      "log terminal singularities",
      "log discrepancies nonzero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5293V"
    }
  }
}