{
  "id": "0906.0412",
  "version": "v1",
  "published": "2009-06-02T03:12:10.000Z",
  "updated": "2009-06-02T03:12:10.000Z",
  "title": "Decompositions of Abelian surface and quadratic forms",
  "authors": [
    "Shouhei Ma"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "When a complex Abelian surface can be decomposed into a product of two elliptic curves, how many decompositions does the Abelian surface admit ? We provide arithmetic formulae for the number of decompositions of a complex Abelian surface.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-02T03:12:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14K02",
      "14H52",
      "11E16"
    ],
    "keywords": [
      "quadratic forms",
      "decompositions",
      "complex abelian surface",
      "abelian surface admit",
      "elliptic curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.0412M"
    }
  }
}