{
  "id": "1111.1893",
  "version": "v4",
  "published": "2011-11-08T13:05:05.000Z",
  "updated": "2016-02-07T17:29:09.000Z",
  "title": "Stable models of Lubin-Tate curves with level three",
  "authors": [
    "Naoki Imai",
    "Takahiro Tsushima"
  ],
  "comment": "36 pages",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We construct a stable formal model of a Lubin-Tate curve with level three, and study the action of a Weil group and a division algebra on its stable reduction. Further, we study a structure of cohomology of the Lubin-Tate curve. Our study is purely local and includes the case where the characteristic of the residue field of a local field is two.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-07-02T15:16:17.000Z",
      "abstract": "We construct a stable formal model of a Lubin-Tate curve of level three, and study the action of a Weil group and a division algebra on its stable reduction. Further, we study a structure of cohomology of the Lubin-Tate curve. Our study is purely local and includes the case where the characteristic of the residue field of a local field is two.",
      "comment": "24 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2016-02-07T17:29:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F80",
      "11G20"
    ],
    "keywords": [
      "lubin-tate curve",
      "stable models",
      "local field",
      "residue field",
      "stable formal model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.1893I"
    }
  }
}