{
  "id": "1312.0490",
  "version": "v2",
  "published": "2013-12-02T15:36:07.000Z",
  "updated": "2014-11-12T22:42:07.000Z",
  "title": "The geometry of Newton strata in the reduction modulo $p$ of Shimura varieties of PEL type",
  "authors": [
    "Paul Hamacher"
  ],
  "comment": "56 pages; v2: corrected some typos, gave more detailed introduction and added a sketch for the idea behind the definition of \"numerical dimension\" at the beginning of section 10",
  "categories": [
    "math.AG"
  ],
  "abstract": "In this paper we study the Newton stratification on the reduction of Shimura varieties of PEL type with hyperspecial level structure and the Newton stratification on the deformation space of a Barsotti-Tate group with PEL structure. Our main result is a formula for the dimension of Newton strata and the description their closure in each of the two cases. Furthermore, we calculate the dimension of some Rapoport-Zink spaces as an intermediate result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-02T15:36:07.000Z",
      "comment": "54 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-12T22:42:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "14L05",
      "20G25"
    ],
    "keywords": [
      "shimura varieties",
      "pel type",
      "newton strata",
      "reduction modulo",
      "newton stratification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 56,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.0490H"
    }
  }
}