{
  "id": "1012.4120",
  "version": "v1",
  "published": "2010-12-18T20:54:51.000Z",
  "updated": "2010-12-18T20:54:51.000Z",
  "title": "A homology plane of general type can have at most a cyclic quotient singularity",
  "authors": [
    "R. V. Gurjar",
    "M. Koras",
    "M. Miyanishi",
    "P. Russell"
  ],
  "comment": "63 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that a homology plane of general type has at worst a single cyclic quotient singular point. An example of such a surface with a singular point does exist. We also show that the automorphism group of a smooth contractible surface of general type is cyclic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-18T20:54:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J17",
      "14R05",
      "14R20"
    ],
    "keywords": [
      "general type",
      "cyclic quotient singularity",
      "homology plane",
      "single cyclic quotient singular point",
      "automorphism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 63,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.4120G"
    }
  }
}