{
  "id": "math/9907147",
  "version": "v1",
  "published": "1999-07-23T08:16:00.000Z",
  "updated": "1999-07-23T08:16:00.000Z",
  "title": "Complex hyperbolic cone structures on the configuration spaces",
  "authors": [
    "Sadayoshi Kojima"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GT",
    "math.AG"
  ],
  "abstract": "The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space in this paper. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne-Mostow and Thurston. We first confirm that these families are the same. Then in view of the deformation theory for real hyperbolic cone 3-manifolds, we review the families for small n.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-07-23T08:16:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "14D25",
      "14D30",
      "32M10",
      "53C56"
    ],
    "keywords": [
      "complex hyperbolic cone structures",
      "configuration space",
      "real hyperbolic cone",
      "complex hyperbolic structures",
      "complex projective line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......7147K"
    }
  }
}