{
  "id": "1003.0238",
  "version": "v1",
  "published": "2010-03-01T02:23:06.000Z",
  "updated": "2010-03-01T02:23:06.000Z",
  "title": "Closure of Steinberg fibers and affine Deligne-Lusztig varieties",
  "authors": [
    "Xuhua He"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We discuss some connections between the closure $\\bar F$ of a Steinberg fiber in the wonderful compactification of an adjoint group and the affine Deligne-Lusztig varieties $X_w(1)$ in the affine flag variety. Among other things, we describe the emptiness/nonemptiness pattern of $X_w(1)$ if the translation part of $w$ is quasi-regular. As a by-product, we give a new proof of the explicit description of $\\bar F$, first obtained in \\cite{H1}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-01T02:23:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M27",
      "20G15"
    ],
    "keywords": [
      "affine deligne-lusztig varieties",
      "steinberg fiber",
      "affine flag variety",
      "adjoint group",
      "translation part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.0238H"
    }
  }
}