{
  "id": "1011.2257",
  "version": "v1",
  "published": "2010-11-10T02:06:12.000Z",
  "updated": "2010-11-10T02:06:12.000Z",
  "title": "On The Characteristic Polynomial of Frobenius of Supersingular Abelian Varieties Of Dimension up to 7 over Finite Fields",
  "authors": [
    "Vijaykumar Singh",
    "Alexey Zatysev",
    "Gary McGuire"
  ],
  "categories": [
    "math.AG"
  ],
  "abstract": "In this article, we derive the list of the characteristic polynomials of the Frobenius endomorphism of simple supersingular abelian varieties of dimension $1,~2,~3,~4,~5,~6,~7$ over $\\mathbb{F}_q$ where $q=p^n$, $n$ odd.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-10T02:06:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14H40",
      "14G15",
      "14K15",
      "11G10",
      "11G25"
    ],
    "keywords": [
      "characteristic polynomial",
      "finite fields",
      "simple supersingular abelian varieties",
      "frobenius endomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.2257S"
    }
  }
}