{
  "id": "2003.04738",
  "version": "v1",
  "published": "2020-03-06T13:14:33.000Z",
  "updated": "2020-03-06T13:14:33.000Z",
  "title": "EKOR strata on Shimura varieties with parahoric reduction",
  "authors": [
    "Jens Hesse"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2003.03175",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We investigate the geometry of the special fiber of the integral model of a Shimura variety with parahoric level at a given prime place. To be more precise, we deal with the EKOR stratification which interpolates between the Ekedahl-Oort and Kottwitz-Rapoport stratifications. In the Siegel case we give a geometric description by suitably generalizing the theory of $G$-zips of Moonen, Wedhorn, Pink and Ziegler to our context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-06T13:14:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "11G18",
      "14L05",
      "14D23",
      "14F40"
    ],
    "keywords": [
      "shimura variety",
      "parahoric reduction",
      "ekor strata",
      "integral model",
      "parahoric level"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}