{
  "id": "math/0502320",
  "version": "v3",
  "published": "2005-02-15T17:29:01.000Z",
  "updated": "2007-04-27T08:35:52.000Z",
  "title": "Moduli spaces of p-divisible groups",
  "authors": [
    "Eva Viehmann"
  ],
  "comment": "25 pages, minor corrections, author's last name changed from Mierendorff to Viehmann, to appear in Journal of Algebraic Geometry",
  "categories": [
    "math.AG"
  ],
  "abstract": "We study the global structure of moduli spaces of quasi-isogenies of p-divisible groups introduced by Rapoport and Zink. We determine their dimensions and their sets of connected components and of irreducible components. If the isocrystals of the p-divisible groups are simple, we compute the cohomology of the moduli space. As an application we determine which moduli spaces are smooth.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-04-27T08:35:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L05",
      "14K10",
      "14G35"
    ],
    "keywords": [
      "moduli space",
      "p-divisible groups",
      "global structure",
      "connected components",
      "irreducible components"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......2320V"
    }
  }
}