{
  "id": "math/0002253",
  "version": "v1",
  "published": "2000-02-29T18:56:10.000Z",
  "updated": "2000-02-29T18:56:10.000Z",
  "title": "Polarizations on abelian varieties",
  "authors": [
    "A. Silverberg",
    "Yu. G. Zarhin"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "The results in this paper imply that for every number field F and positive integer r, there exists an F-isogeny class of abelian varieties such that r divides the degree of every F-polarization on every abelian variety in the isogeny class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-02-29T18:56:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian variety",
      "polarizations",
      "number field",
      "f-isogeny class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......2253S"
    }
  }
}