{
  "id": "math/0505102",
  "version": "v2",
  "published": "2005-05-06T01:13:29.000Z",
  "updated": "2005-08-04T08:49:38.000Z",
  "title": "Classification of smooth affine spherical varieties",
  "authors": [
    "Friedrich Knop",
    "Bart Van Steirteghem"
  ],
  "comment": "v1: 23 pages, uses texdraw; v2: 25 pages, introduction updated, Lemma 7.2 fixed, references added, typos corrected",
  "journal": "Transform. Groups 11 (2006) 495-516",
  "doi": "10.1007/s00031-005-1116-3",
  "categories": [
    "math.AG",
    "math.RT",
    "math.SG"
  ],
  "abstract": "Let G be a complex reductive group. A normal G-variety X is called spherical if a Borel subgroup of G has a dense orbit in X. Of particular interest are spherical varieties which are smooth and affine since they form local models for multiplicity free Hamiltonian K-manifolds, K a maximal compact subgroup of G. In this paper, we classify all smooth affine spherical varieties up to coverings, central tori, and C*-fibrations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-08-04T08:49:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30"
    ],
    "keywords": [
      "smooth affine spherical varieties",
      "classification",
      "multiplicity free hamiltonian k-manifolds",
      "form local models",
      "maximal compact subgroup"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5102K"
    }
  }
}