{
  "id": "1704.01410",
  "version": "v1",
  "published": "2017-04-05T13:33:47.000Z",
  "updated": "2017-04-05T13:33:47.000Z",
  "title": "Sufficient conditions for the dirichlet property",
  "authors": [
    "Huayi Chen",
    "Atsushi Moriwaki"
  ],
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "The effectivity up to R-linear equivalence (Dirichlet property) of pseudoeffective adelic R-Cartier divisors is a subtle problem in arithmetic geometry. In this article, we propose sufficient conditions for the Dirichlet property by using the dynamic system in the classic Arakelov geometry setting. We also give a numerical criterion of the Dirichlet property for adelic R-Cartier divisors on curves over a trivially valued field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-05T13:33:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dirichlet property",
      "sufficient conditions",
      "pseudoeffective adelic r-cartier divisors",
      "subtle problem",
      "r-linear equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}