{
  "id": "1607.08664",
  "version": "v1",
  "published": "2016-07-28T23:23:42.000Z",
  "updated": "2016-07-28T23:23:42.000Z",
  "title": "Canonical singularities of dimension three in characteristic 2 which do not follow Reid's rules",
  "authors": [
    "Masayuki Hirokado"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "We continue to study and present concrete examples in characteristic 2 of compound Du Val singularities defined over an algebraically closed field which have one dimensional singular loci but cannot be written as products (a rational double point) x (a curve) up to analytic isomorphism at any point of the loci. Unlike in other characteristics, we find a large number of such examples whose general hyperplane sections have rational double points of type D. We consider these compound Du Val singularities as a special class of canonical singularities, intend to complete classification in arbitrary characteristic reinforcing Miles Reid's result in characteristic zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-28T23:23:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "canonical singularities",
      "reids rules",
      "rational double point",
      "val singularities",
      "arbitrary characteristic reinforcing miles reids"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}