{
  "id": "math/0205048",
  "version": "v2",
  "published": "2002-05-06T11:57:47.000Z",
  "updated": "2004-05-25T13:57:48.000Z",
  "title": "Symplectic Resolutions for Nilpotent Orbits",
  "authors": [
    "Baohua Fu"
  ],
  "comment": "This is to fix a gap and correct some errors in the previous version. We have also improved the presentation",
  "journal": "Invent. Math. 151 (2003), 167-186",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that any symplectic resolution of the closure of a nilpotent orbit in a semi-simple complex Lie algebra is isomorphic to the collapsing of the cotangent bundle of a projective homogenous variety. Then we give a complete characterization of those nilpotent orbits whose closure admit a symplectic resolution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-05-25T13:57:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nilpotent orbit",
      "symplectic resolution",
      "semi-simple complex lie algebra",
      "cotangent bundle",
      "complete characterization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00222-002-0260-9",
      "journal": "Inventiones Mathematicae",
      "year": 2003,
      "month": "Jan",
      "volume": 151,
      "number": 1,
      "pages": 167
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003InMat.151..167F"
    }
  }
}