{
  "id": "0802.3260",
  "version": "v2",
  "published": "2008-02-22T07:03:10.000Z",
  "updated": "2008-07-10T13:00:52.000Z",
  "title": "Supersingular Kottwitz-Rapoport strata and Deligne-Lusztig varieties",
  "authors": [
    "Ulrich Goertz",
    "Chia-Fu Yu"
  ],
  "comment": "v2: Minor corrections; explained relation to [Goertz,Yu, arXiv:0807.1229]; improved introduction",
  "categories": [
    "math.AG",
    "math.NT"
  ],
  "abstract": "We investigate Siegel modular varieties in positive characteristic with Iwahori level structure. On these spaces, we have the Newton stratification, and the Kottwitz-Rapoport stratification; one would like to understand how these stratifications are related to each other. We give a simple description of all KR strata which are entirely contained in the supersingular locus as disjoint unions of Deligne-Lusztig varieties. We also give an explicit numerical description of the KR stratification in terms of abelian varieties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-10T13:00:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "14K10",
      "11G18"
    ],
    "keywords": [
      "supersingular kottwitz-rapoport strata",
      "deligne-lusztig varieties",
      "iwahori level structure",
      "siegel modular varieties",
      "explicit numerical description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.3260G"
    }
  }
}