{
  "id": "math/0310196",
  "version": "v1",
  "published": "2003-10-14T06:11:11.000Z",
  "updated": "2003-10-14T06:11:11.000Z",
  "title": "The modular height of an abelian variety and its finiteness property",
  "authors": [
    "Atsushi Moriwaki"
  ],
  "comment": "22 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this note, we propose the modular height of an abelian variety defined over a field of finite type over Q. Moreover, we prove its finiteness property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-14T06:11:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finiteness property",
      "modular height",
      "finite type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10196M"
    }
  }
}