{
  "id": "math/0208241",
  "version": "v2",
  "published": "2002-08-30T06:44:54.000Z",
  "updated": "2002-11-08T05:07:07.000Z",
  "title": "Singularities of the 2-dimensional moduli spaces of stable sheaves on K3 surfaces",
  "authors": [
    "Nobuaki Onishi",
    "Kota Yoshioka"
  ],
  "comment": "15 pages, minor change",
  "categories": [
    "math.AG"
  ],
  "abstract": "We consider the singuralities of 2-dimensional moduli spaces of semi-stable sheaves on K3 surfaces. We show that the moduli space is normal, in particular the singuralities are rational double points. We also describe the exceptional locus on the resolution in terms of exceptional sheaves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-11-08T05:07:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14D20"
    ],
    "keywords": [
      "moduli space",
      "k3 surfaces",
      "singularities",
      "exceptional sheaves",
      "rational double points"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......8241O"
    }
  }
}