{
  "id": "1107.2169",
  "version": "v2",
  "published": "2011-07-12T00:17:18.000Z",
  "updated": "2012-03-04T03:31:29.000Z",
  "title": "A note on exceptional unimodal singularities and K3 surfaces",
  "authors": [
    "Masanori Kobayashi",
    "Makiko Mase",
    "Kazushi Ueda"
  ],
  "comment": "21 pages, 4 figures; v2: corrected an error pointed out by the referee",
  "categories": [
    "math.AG"
  ],
  "abstract": "This is a short note on the relation between the graded stable derived categories of 14 exceptional unimodal singularities and the derived category of K3 surfaces obtained as compactifications of the Milnor fibers. As a corollary, we obtain a basis of the numerical Grothendieck group similar to the one given by Ebeling and Ploog (arXiv:0809.2738).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-04T03:31:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J33",
      "53D37",
      "32S25"
    ],
    "keywords": [
      "exceptional unimodal singularities",
      "k3 surfaces",
      "numerical grothendieck group similar",
      "derived category",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.2169K"
    }
  }
}