{
  "id": "0812.3258",
  "version": "v2",
  "published": "2008-12-17T11:28:45.000Z",
  "updated": "2009-10-01T08:07:27.000Z",
  "title": "Plane sextics via dessins d'enfants",
  "authors": [
    "Alex Degtyarev"
  ],
  "comment": "a few points clarified; final version accepted for publication",
  "journal": "Geometry & Topology, 14:1 (2010), 393--433",
  "categories": [
    "math.AG"
  ],
  "abstract": "We develop a geometric approach to the study of plane sextics with a triple singular point. As an application, we give an explicit geometric description of all irreducible maximal sextics with a type $\\bold E_7$ singular point and compute their fundamental groups. All groups found are finite; one of them is nonabelian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-01T08:07:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H45",
      "14H30",
      "14H50"
    ],
    "keywords": [
      "plane sextics",
      "dessins denfants",
      "triple singular point",
      "explicit geometric description",
      "geometric approach"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.3258D"
    }
  }
}