{
  "id": "1201.5772",
  "version": "v2",
  "published": "2012-01-27T13:38:10.000Z",
  "updated": "2012-08-04T06:56:09.000Z",
  "title": "One-relator Kaehler groups",
  "authors": [
    "Indranil Biswas",
    "Mahan Mj"
  ],
  "comment": "v2: 9pgs. no figs. Final version, to appear in \"Geometry and Topology\"",
  "journal": "Geometry & Topology 16 (2012) 2171-2186",
  "doi": "10.2140/gt.2012.16.2171",
  "categories": [
    "math.GT",
    "math.AG",
    "math.GR"
  ],
  "abstract": "We prove that a one-relator group $G$ is K\\\"ahler if and only if either $G$ is finite cyclic or $G$ is isomorphic to the fundamental group of a compact orbifold Riemann surface of genus $g > 0$ with at most one cone point of order $n$: $$< a_1\\, b_1\\, \\,...\\, a_g\\, b_g\\, \\mid\\, (\\prod_{i=1}^g [a_i\\, b_i])^n>\\, .$$",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-04T06:56:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "32Q15",
      "57M05",
      "14F35",
      "32J15"
    ],
    "keywords": [
      "one-relator kaehler groups",
      "compact orbifold riemann surface",
      "one-relator group",
      "fundamental group",
      "cone point"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.5772B"
    }
  }
}