{
  "id": "math/0209264",
  "version": "v1",
  "published": "2002-09-20T11:56:18.000Z",
  "updated": "2002-09-20T11:56:18.000Z",
  "title": "Families of p-divisible groups with constant Newton polygon",
  "authors": [
    "Frans oort",
    "Thomas Zink"
  ],
  "comment": "To be published in Documenta Mathematica",
  "categories": [
    "math.AG"
  ],
  "abstract": "A p-divisible group over a base scheme in characteristic p in general does not admit a slope filtration. Let X be a p-divisible group with constant Newton polygon over a normal noetherian scheme S; we prove that there exists an isogeny from X to Y such that Y admits a slope filtration. In case S is regular this was proved by N. Katz for dim(S) = 1 and by T. Zink for dim(S) > 0. We give an example of a p-divisible group over a non-normal base which does not admit an isogeny to a p-divisible group with a slope filtration.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-09-20T11:56:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L05",
      "14F30"
    ],
    "keywords": [
      "constant newton polygon",
      "p-divisible group",
      "slope filtration",
      "normal noetherian scheme",
      "non-normal base"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9264O"
    }
  }
}