{
  "id": "1003.1590",
  "version": "v1",
  "published": "2010-03-08T10:28:34.000Z",
  "updated": "2010-03-08T10:28:34.000Z",
  "title": "Strange duality of weighted homogeneous polynomials",
  "authors": [
    "Wolfgang Ebeling",
    "Atsushi Takahashi"
  ],
  "comment": "21 pages, 1 figure",
  "doi": "10.1112/S0010437X11005288",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We consider a mirror symmetry between invertible weighted homogeneous polynomials in three variables. We define Dolgachev and Gabrielov numbers for them and show that we get a duality between these polynomials generalizing Arnold's strange duality between the 14 exceptional unimodal singularities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-08T10:28:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J33",
      "32S25",
      "14L30"
    ],
    "keywords": [
      "weighted homogeneous polynomials",
      "polynomials generalizing arnolds strange duality",
      "exceptional unimodal singularities",
      "define dolgachev",
      "gabrielov numbers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.1590E"
    }
  }
}