{
  "id": "1105.2426",
  "version": "v2",
  "published": "2011-05-12T11:08:37.000Z",
  "updated": "2011-06-02T07:25:53.000Z",
  "title": "Algebraic versus topological entropy for surfaces over finite fields",
  "authors": [
    "Hélène Esnault",
    "Vasudevan Srinivas"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that, as in de Rham cohomology over the complex numbers, the value of the entropy of an automorphism of the surface over a finite field $\\F_q $ is taken on the span of the N\\'eron-Severi group inside of $\\ell$-adic cohomology. v2: (some) typos removed, exposition (partly) improved.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-02T07:25:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite field",
      "topological entropy",
      "neron-severi group inside",
      "complex numbers",
      "rham cohomology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.2426E"
    }
  }
}