{
  "id": "0809.2081",
  "version": "v2",
  "published": "2008-09-11T18:55:25.000Z",
  "updated": "2009-04-18T06:59:34.000Z",
  "title": "Singularities of Affine Schubert Varieties",
  "authors": [
    "J. Kuttler",
    "V. Lakshmibai"
  ],
  "comment": "13 figures",
  "journal": "SIGMA 5 (2009), 048, 31 pages",
  "doi": "10.3842/SIGMA.2009.048",
  "categories": [
    "math.AG"
  ],
  "abstract": "This paper studies the singularities of affine Schubert varieties in the affine Grassmannian (of type $\\mathrm{A}^{(1)}_\\ell$). For two classes of affine Schubert varieties, we determine the singular loci; and for one class, we also determine explicitly the tangent spaces at singular points. For a general affine Schubert variety, we give partial results on the singular locus.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-18T06:59:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "singularities",
      "singular locus",
      "general affine schubert variety",
      "affine grassmannian",
      "paper studies"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}