{
  "id": "math/0409338",
  "version": "v3",
  "published": "2004-09-20T06:36:26.000Z",
  "updated": "2006-02-13T04:59:50.000Z",
  "title": "Hilbert functions of points on Schubert varieties in the Symplectic Grassmannian",
  "authors": [
    "Sudhir R. Ghorpade",
    "K. N. Raghavan"
  ],
  "comment": "latex, 22 pages, 2 figures; for version 2: a few references added, minor changes; for version 3: Final version to appear in TAMS, a few minor (but potentially misleading) typos and erros corrected",
  "journal": "Transactions of the American Mathematical Society, Vol. 358, No. 12 (2006), pp. 5401-5423",
  "doi": "10.1090/S0002-9947-06-04037-2",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We give an explicit combinatorial description of the multiplicity as well as the Hilbert function of the tangent cone at any point on a Schubert variety in the symplectic Grassmannian.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-02-13T04:59:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "13F50",
      "13A30"
    ],
    "keywords": [
      "symplectic grassmannian",
      "schubert variety",
      "hilbert function",
      "explicit combinatorial description"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9338G"
    }
  }
}