{
  "id": "0810.1010",
  "version": "v2",
  "published": "2008-10-06T17:08:56.000Z",
  "updated": "2009-01-16T16:08:38.000Z",
  "title": "On theta functions of order four",
  "authors": [
    "Yaacov Kopeliovich",
    "Christian Pauly",
    "Olivier Serman"
  ],
  "comment": "6 pages, minor changes, references added",
  "doi": "10.1112/blms/bdp012",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that the fourth powers of theta functions with even characteristics form a basis of the space of even theta functions of order four on a principally polarized Abelian variety without vanishing theta-null.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-16T16:08:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "theta functions",
      "fourth powers",
      "characteristics form",
      "principally polarized abelian variety",
      "vanishing theta-null"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1010K"
    }
  }
}