{
  "id": "0903.0106",
  "version": "v4",
  "published": "2009-03-02T14:27:24.000Z",
  "updated": "2010-06-30T19:33:05.000Z",
  "title": "The groups of points on abelian varieties over finite fields",
  "authors": [
    "Sergey Rybakov"
  ],
  "comment": "6 pages; final version",
  "journal": "Central European Journal of Mathematics, Volume 8, Number 2, 2010, 282-288",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "Let $A$ be an abelian variety with commutative endomorphism algebra over a finite field $k$. The $k$-isogeny class of $A$ is uniquely determined by a Weil polynomial $f_A$ without multiple roots. We give a classification of the groups of $k$-rational points on varieties from this class in terms of Newton polygons of $f_A(1-t)$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2010-06-30T19:33:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G05",
      "14G15"
    ],
    "keywords": [
      "abelian variety",
      "finite field",
      "rational points",
      "multiple roots",
      "isogeny class"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.0106R"
    }
  }
}