{
  "id": "1303.2561",
  "version": "v3",
  "published": "2013-03-11T16:06:52.000Z",
  "updated": "2013-11-23T21:45:11.000Z",
  "title": "Localization of spherical varieties",
  "authors": [
    "Friedrich Knop"
  ],
  "comment": "v1: 25 pages; v2: 21 pages, reformatted to LaTeX, otherwise minor changes; v3: 22 pages, final version",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We prove some fundamental structural results for spherical varieties in arbitrary characteristic. In particular, we study Luna's two types of localization and use it to analyze spherical roots, colors and their interrelation. At the end, we propose a preliminary definition of a p-spherical system.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-11-23T21:45:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M27"
    ],
    "keywords": [
      "spherical varieties",
      "localization",
      "fundamental structural results",
      "study lunas",
      "analyze spherical roots"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.2561K"
    }
  }
}