{
  "id": "2001.00165",
  "version": "v1",
  "published": "2020-01-01T08:54:05.000Z",
  "updated": "2020-01-01T08:54:05.000Z",
  "title": "Characterization of two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic",
  "authors": [
    "Kohsuke Shibata"
  ],
  "comment": "15 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we characterize two-dimensional semi-log canonical hypersurfaces in arbitrary characteristic from the viewpoint of the initial term of the defining equation. As an application, we prove a conjecture about a uniform bound of divisors computing minimal log discrepancies for two dimensional varieties, which is a conjecture by Ishii and also a special case of the conjecture by Musta\\c{t}\\v{a}-Nakamura.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-01T08:54:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary characteristic",
      "characterization",
      "divisors computing minimal log discrepancies",
      "conjecture",
      "characterize two-dimensional semi-log canonical hypersurfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}