{
  "id": "1312.3528",
  "version": "v4",
  "published": "2013-12-12T15:48:48.000Z",
  "updated": "2014-02-22T07:47:34.000Z",
  "title": "Algebraic dynamical systems and Dirichlet's unit theorem on arithmetic varieties",
  "authors": [
    "Huayi Chen",
    "Atsushi Moriwaki"
  ],
  "comment": "36 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper, we study obstructions to the Dirichlet property by two approaches: density of non-positive points and functionals on adelic R-divisors. Applied to the algebraic dynamical systems, these results provide examples of nef adelic arithmetic R-Cartier divisor which does not have the Dirichlet property. We hope the obstructions obtained in the article will give ways toward criteria of the Dirichlet property.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-02-22T07:47:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G40",
      "11G50",
      "37P30"
    ],
    "keywords": [
      "algebraic dynamical systems",
      "dirichlets unit theorem",
      "arithmetic varieties",
      "dirichlet property",
      "nef adelic arithmetic r-cartier divisor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.3528C"
    }
  }
}