{
  "id": "0704.2578",
  "version": "v3",
  "published": "2007-04-19T18:14:53.000Z",
  "updated": "2009-11-19T18:15:28.000Z",
  "title": "Formal completions of Néron models for algebraic tori",
  "authors": [
    "Oleg Demchenko",
    "Alexander Gurevich",
    "Xavier Xarles"
  ],
  "comment": "35 pages. New version with new functoriality results. Final version in the Proceedings of the London Mathematical Society, link: http://plms.oxfordjournals.org/cgi/content/abstract/pdp039?ijkey=NVyJlz51HbzrzxM&keytype=ref",
  "doi": "10.1112/plms/pdp039",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We calculate the formal group law which represents the completion of the N\\'eron model of an algebraic torus over the rationals that splits in a tamely ramified abelian extension. As a tools in the proof, we define and give criterions to compute the Weil restriction of a formal group law and the analog of the fixed part of a formal group law with respect to the action of a (finite) group.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-19T18:15:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L05",
      "14G25"
    ],
    "keywords": [
      "algebraic torus",
      "formal group law",
      "néron models",
      "formal completions",
      "neron model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2578D"
    }
  }
}