{
  "id": "math/0504233",
  "version": "v1",
  "published": "2005-04-12T06:44:33.000Z",
  "updated": "2005-04-12T06:44:33.000Z",
  "title": "The moduli space of 8 points on ${\\bf P}^1$ and automorphic forms",
  "authors": [
    "Shigeyuki Kondo"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "First we give a complex ball uniformization of the moduli space of 8 ordered points on the projective line by using the theory of periods of K3 surfaces. Next we give a projective model of this moduli space by using automorphic forms on a bounded symmetric domain of type IV which coincides with the one given by cross ratios of 8 ordered points of the projective line.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-12T06:44:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J28"
    ],
    "keywords": [
      "moduli space",
      "automorphic forms",
      "complex ball uniformization",
      "ordered points",
      "projective line"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4233K"
    }
  }
}