{
  "id": "math/0502362",
  "version": "v1",
  "published": "2005-02-16T19:40:16.000Z",
  "updated": "2005-02-16T19:40:16.000Z",
  "title": "Perfect forms and the moduli space of abelian varieties",
  "authors": [
    "N. I. Shepherd-Barron"
  ],
  "comment": "20 pages",
  "doi": "10.1007/s00222-005-0453-0",
  "categories": [
    "math.AG"
  ],
  "abstract": "Perfect quadratic forms give a toroidal compactification of the moduli space of principally polarized abelian g-folds that is Q-factorial and whose ample classes are characterized, over any base. In characteristic zero it has canonical singularities if g is at least 5, and is the canonical model (in the sense of Mori and Reid) if g is at least 12.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-02-16T19:40:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K10",
      "14E30"
    ],
    "keywords": [
      "moduli space",
      "abelian varieties",
      "perfect forms",
      "perfect quadratic forms",
      "toroidal compactification"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}