{
  "id": "1410.1317",
  "version": "v1",
  "published": "2014-10-06T11:03:53.000Z",
  "updated": "2014-10-06T11:03:53.000Z",
  "title": "Nonemptiness of Ekedahl-Oort strata for projective Shimura varieties of Hodge type",
  "authors": [
    "Jean-Stefan Koskivirta"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We construct non-vanishing global sections of powers of the Hodge bundle on each Ekedahl-Oort stratum of a Hodge-type Shimura variety. In particular, we deduce that all Ekedahl-Oort strata are quasi-affine. In the projective case, this gives a very short proof of non-emptiness of Ekedahl-Oort strata.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-06T11:03:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G35",
      "14K10",
      "20G40",
      "11G18"
    ],
    "keywords": [
      "ekedahl-oort stratum",
      "projective shimura varieties",
      "hodge type",
      "nonemptiness",
      "hodge-type shimura variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.1317K"
    }
  }
}