{
  "id": "1106.5677",
  "version": "v3",
  "published": "2011-06-28T14:15:44.000Z",
  "updated": "2013-01-14T20:58:24.000Z",
  "title": "Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup",
  "authors": [
    "Roman Avdeev"
  ],
  "comment": "v2: title and abstract changed; v3: 16 pages, minor corrections",
  "journal": "Sbornik: Mathematics, vol. 203 (2012), no. 11, 1535-1552",
  "doi": "10.1070/SM2012v203n11ABEH004274",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "For an affine spherical homogeneous space G/H of a connected semisimple algebraic group G, we consider the factorization morphism by the action on G/H of a maximal unipotent subgroup of G. We prove that this morphism is equidimensional if and only if the weight semigroup of G/H satisfies some simple condition.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-01-14T20:58:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14M27",
      "14M17"
    ],
    "keywords": [
      "maximal unipotent subgroup",
      "affine spherical homogeneous space g/h",
      "connected semisimple algebraic group"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Sbornik: Mathematics",
      "year": 2012,
      "month": "Nov",
      "volume": 203,
      "number": 11,
      "pages": 1535
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012SbMat.203.1535A"
    }
  }
}