{
  "id": "2307.04629",
  "version": "v1",
  "published": "2023-07-10T15:14:23.000Z",
  "updated": "2023-07-10T15:14:23.000Z",
  "title": "Slope filtrations of log $p$-divisible groups",
  "authors": [
    "Kentaro Inoue"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "Oort-Zink proved that a $p$-divisible group over a normal base in characteristic $p$ with constant Newton polygon is isogenous to a $p$-divisible group admitting a slope filtration. In this paper, we generalize this result to log $p$-divisible groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-10T15:14:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L05",
      "14A21"
    ],
    "keywords": [
      "divisible group",
      "slope filtration",
      "constant newton polygon",
      "normal base"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}