{
  "id": "math/0211208",
  "version": "v1",
  "published": "2002-11-13T17:23:34.000Z",
  "updated": "2002-11-13T17:23:34.000Z",
  "title": "A discrete extension of Γ_{1,p}^{\\circ}(2) in SP(4,R) and the modular form of the Barth-Nieto quintic",
  "authors": [
    "Michael Friedland"
  ],
  "comment": "8 pages, Latex2e",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct a maximal discrete extension of the paramodular group with a full level-2 structure. The corresponding Siegel variety parametrizes (birationally) the space of Kummer surfaces associated to (1,p)-polarized abelian surfaces with a level-2 structure. In the case p=3 this is related to the Barth-Nieto quintic and in this case we also determine the space of cusp forms of weight 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-13T17:23:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "barth-nieto quintic",
      "modular form",
      "maximal discrete extension",
      "corresponding siegel variety parametrizes",
      "abelian surfaces"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11208F"
    }
  }
}