{
  "id": "2403.19771",
  "version": "v1",
  "published": "2024-03-28T18:47:02.000Z",
  "updated": "2024-03-28T18:47:02.000Z",
  "title": "On a conjecture of Pappas and Rapoport",
  "authors": [
    "Patrick Daniels",
    "Pol van Hoften",
    "Dongryul Kim",
    "Mingjia Zhang"
  ],
  "comment": "49 pages, comments welcome!",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove a conjecture of Pappas and Rapoport about the existence of ''canonical'' integral models of Shimura varieties of Hodge type with quasi-parahoric level structure at a prime $p$. For these integral models, we moreover show uniformization of isogeny classes by integral local Shimura varieties, and prove a conjecture of Kisin and Pappas on local model diagrams.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-28T18:47:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G18",
      "14G35"
    ],
    "keywords": [
      "conjecture",
      "integral models",
      "integral local shimura varieties",
      "quasi-parahoric level structure",
      "local model diagrams"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}