{
  "id": "2001.00210",
  "version": "v1",
  "published": "2020-01-01T13:58:02.000Z",
  "updated": "2020-01-01T13:58:02.000Z",
  "title": "Isogenies of certain abelian varieties over finite fields with p-ranks zero",
  "authors": [
    "Steve Thakur"
  ],
  "categories": [
    "math.NT",
    "cs.CR"
  ],
  "abstract": "We study the isogenies of certain abelian varieties over finite fields with non-commutative endomorphism algebras with a view to potential use in isogeny-based cryptography. In particular, we show that any two such abelian varieties with endomorphism rings maximal orders in the endomorphism algebra are linked by a cyclic isogeny of prime degree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-01T13:58:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "abelian varieties",
      "finite fields",
      "p-ranks zero",
      "endomorphism rings maximal orders",
      "non-commutative endomorphism algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}