{
  "id": "1003.0708",
  "version": "v2",
  "published": "2010-03-02T23:50:58.000Z",
  "updated": "2016-04-18T20:33:05.000Z",
  "title": "On the number of lines in the limit set for discrete subgroups of $PSL(3,\\Bbb{C})$",
  "authors": [
    "Waldemar Barrera",
    "A. Cano",
    "Juan Pablo Navarrete"
  ],
  "journal": "Pacific J. Math. 281 (2016) 17-49",
  "doi": "10.2140/pjm.2016.281.17",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Given a discret subgroup $\\Gamma\\subset PSL(3,\\C)$, we determine the number of complex lines and complex lines in general position lying in the complement of: maximal regions on which $\\Gamma$ acts properly discontinuously, the Kularni's limit set of $\\Gamma$ and the equicontinuity set of $\\Gamma$. We also provide sufficient conditions to ensure that the equicontinuity region agrees with the Kulkarni's discontinuity region and is the largest set where the group acts properly discontinuously and we provide a description of he respective limit set in terms of the elements of the group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-02T23:50:58.000Z",
      "title": "Estimates of the number of lines lying in the limit set for subgroups of $PSL(3,\\Bbb{C})$",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-04-18T20:33:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q45",
      "37F45",
      "22E40"
    ],
    "keywords": [
      "lines lying",
      "complex lines",
      "equicontinuity region agrees",
      "kularnis limit set",
      "kulkarnis discontinuity region"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.0708B"
    }
  }
}