{
  "id": "0808.2537",
  "version": "v1",
  "published": "2008-08-19T06:49:14.000Z",
  "updated": "2008-08-19T06:49:14.000Z",
  "title": "Ekedahl-Oort strata and Kottwitz-Rapoport strata",
  "authors": [
    "Ulrich Goertz",
    "Maarten Hoeve"
  ],
  "comment": "10 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the moduli space A_g of g-dimensional principally polarized abelian varieties in positive characteristic, and its variant A_I with Iwahori level structure. Both supersingular Ekedahl-Oort strata and supersingular Kottwitz-Rapoport strata are isomorphic to disjoint unions of Deligne-Lusztig varieties (see [Hoeve 2008] and [Goertz, Yu 2008], resp.). Here we compare these isomorphisms. We also give an explicit description of Kottwitz-Rapoport strata contained in the supersingular locus in the general parahoric case. Finally, we show that every Ekedahl-Oort stratum is isomorphic to a parahoric Kottwitz-Rapoport stratum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-19T06:49:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "11G18",
      "14K10"
    ],
    "keywords": [
      "ekedahl-oort stratum",
      "supersingular kottwitz-rapoport strata",
      "parahoric kottwitz-rapoport stratum",
      "g-dimensional principally polarized abelian varieties",
      "general parahoric case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.2537G"
    }
  }
}