{
  "id": "0812.2096",
  "version": "v1",
  "published": "2008-12-11T08:40:05.000Z",
  "updated": "2008-12-11T08:40:05.000Z",
  "title": "Geometrical description of smooth projective symmetric varieties with Picard number one",
  "authors": [
    "Alessandro Ruzzi"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "In a previous paper we have classified the smooth projective symmetric G-varieties with Picard number one (and G semisimple). In this work we give a geometrical description of such varieties. In particular, we determine their group of automorphisms. When this group, Aut(X), acts non-transitively on X, we describe a G-equivariant embedding of the variety X in a homogeneous variety (with respect to a larger group).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-11T08:40:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M17",
      "14J45",
      "14L30"
    ],
    "keywords": [
      "smooth projective symmetric varieties",
      "picard number",
      "geometrical description",
      "smooth projective symmetric g-varieties",
      "larger group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.2096R"
    }
  }
}