{
  "id": "1603.07831",
  "version": "v1",
  "published": "2016-03-25T06:48:25.000Z",
  "updated": "2016-03-25T06:48:25.000Z",
  "title": "Dieudonné theory over semiperfect rings",
  "authors": [
    "Eike Lau"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "The Dieudonn\\'e crystal of a p-divisible group over a semiperfect ring R can be endowed with a window structure. If R satisfies a boundedness condition, this construction gives an equivalence of categories. As an application one obtains a classification of p-divisible groups over arbitrary perfectoid rings by Breuil-Kisin modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-25T06:48:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semiperfect ring",
      "p-divisible group",
      "arbitrary perfectoid rings",
      "breuil-kisin modules",
      "dieudonne crystal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160307831L"
    }
  }
}