{
  "id": "2402.05727",
  "version": "v1",
  "published": "2024-02-08T14:58:43.000Z",
  "updated": "2024-02-08T14:58:43.000Z",
  "title": "Canonical Integral Models of Shimura Varieties of Abelian Type",
  "authors": [
    "Patrick Daniels",
    "Alex Youcis"
  ],
  "comment": "49 pages, comments welcome!",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>3$ by showing that the Kisin-Pappas-Zhou integral models of Shimura varieties of abelian type are canonical. In particular, this shows that these models of are independent of the choices made during their construction, and that they satisfy functoriality with respect to morphisms of Shimura data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-08T14:58:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G18",
      "11R39"
    ],
    "keywords": [
      "shimura varieties",
      "abelian type",
      "canonical integral models",
      "parahoric level structure",
      "kisin-pappas-zhou integral models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}