{
  "id": "2109.08753",
  "version": "v1",
  "published": "2021-09-17T20:26:03.000Z",
  "updated": "2021-09-17T20:26:03.000Z",
  "title": "Quotients of the holomorphic 2-ball and the turnover",
  "authors": [
    "Hugo C. Botós",
    "Carlos H. Grossi"
  ],
  "comment": "31 pages, 19 figures",
  "categories": [
    "math.GT",
    "math.DG"
  ],
  "abstract": "We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples of the same type, which are locally rigid. In particular, we obtain examples of complex hyperbolic structures on trivial and cotangent disc bundles over closed Riemann surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-17T20:26:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57S30",
      "51M10",
      "57M50",
      "57R18"
    ],
    "keywords": [
      "complex hyperbolic structures",
      "holomorphic",
      "construct two-dimensional families",
      "cotangent disc bundles",
      "disc orbibundles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}