{
  "id": "1010.1599",
  "version": "v4",
  "published": "2010-10-08T06:01:16.000Z",
  "updated": "2011-12-27T02:50:24.000Z",
  "title": "Toward Dirichlet's unit theorem on arithmetic varieties",
  "authors": [
    "Atsushi Moriwaki"
  ],
  "comment": "47 pages, rewrite Subsection 1.2 and Subsection 2.1 for the forthcoming paper",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "In this paper, we would like to propose a fundamental question about a higher dimensional analogue of Dirichlet's unit theorem. We also give a partial answer to the question as an application of the arithmetic Hodge index theorem.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2011-12-27T02:50:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G40",
      "11G50"
    ],
    "keywords": [
      "dirichlets unit theorem",
      "arithmetic varieties",
      "arithmetic hodge index theorem",
      "higher dimensional analogue",
      "partial answer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.1599M"
    }
  }
}