{
  "id": "math/0605373",
  "version": "v1",
  "published": "2006-05-15T05:00:17.000Z",
  "updated": "2006-05-15T05:00:17.000Z",
  "title": "Flatness of the linked Grassmannian",
  "authors": [
    "David Helm",
    "Brian Osserman"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We show that the linked Grassmannian scheme, which arises in a functorial compactification of spaces of limit linear series, and in local models of certain Shimura varieties, is Cohen-Macaulay, reduced, and flat. We give an application to spaces of limit linear series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-15T05:00:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "14H51",
      "14G35"
    ],
    "keywords": [
      "limit linear series",
      "linked grassmannian scheme",
      "functorial compactification",
      "local models",
      "shimura varieties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5373H"
    }
  }
}