{
  "id": "1401.1652",
  "version": "v2",
  "published": "2014-01-08T10:42:58.000Z",
  "updated": "2015-12-22T17:52:59.000Z",
  "title": "On classification of groups of points on abelian varieties over finite fields",
  "authors": [
    "Sergey Rybakov"
  ],
  "comment": "9 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we improve our previous results on classification of groups of points on abelian varieties over finite fields. The classification is given in terms of the Weil polynomial of abelian varieties in a given $k$-isogeny class.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-08T10:42:58.000Z",
      "abstract": "A $k$-isogeny class of abelian varieties over a finite field $k$ is uniquely determined by the Weil polynomial $f$ of any variety from this class. When we consider classification problems concerning abelian varieties inside an isogeny class, the classification can be given in terms of the corresponding Weil polynomial. In this paper we improve our previous results on classification of groups of points on abelian varieties over finite fields.",
      "comment": "8 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-12-22T17:52:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite field",
      "isogeny class",
      "classification problems concerning abelian varieties",
      "problems concerning abelian varieties inside",
      "corresponding weil polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.1652R"
    }
  }
}