{
  "id": "0905.1591",
  "version": "v2",
  "published": "2009-05-11T10:12:00.000Z",
  "updated": "2009-06-29T13:27:26.000Z",
  "title": "Veech groups, irrational billiards and stable abelian differentials",
  "authors": [
    "Ferran Valdez"
  ],
  "comment": "8 pages, 2 figures",
  "categories": [
    "math.DS",
    "math.DG"
  ],
  "abstract": "We describe Veech groups of flat surfaces arising from irrational angled polygonal billiards or irreducible stable abelian differentials. For irrational polygonal billiards, we prove that these groups are non-discrete subgroups of SO(2,R) and we calculate their rank.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-29T13:27:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "veech groups",
      "irrational billiards",
      "irrational angled polygonal billiards",
      "irrational polygonal billiards",
      "irreducible stable abelian differentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1591V"
    }
  }
}