{
  "id": "1608.08555",
  "version": "v1",
  "published": "2016-08-29T19:33:17.000Z",
  "updated": "2016-08-29T19:33:17.000Z",
  "title": "Foliated dynamical systems associated to ordinary abelian varieties over finite fields",
  "authors": [
    "Ouidad Filali",
    "Francesco Lemma"
  ],
  "comment": "Submitted",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We interpret the \"explicit formula\" in the sense of analytic number theory for the zeta function of an ordinary abelian variety of dimension g over a finite field as a transversal index theorem on a (2g+1)-dimensional Riemannian foliated space. This generalizes a work of Deninger for elliptic curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-29T19:33:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ordinary abelian variety",
      "finite field",
      "foliated dynamical systems",
      "transversal index theorem",
      "analytic number theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}