{
  "id": "1709.10162",
  "version": "v1",
  "published": "2017-09-28T20:40:39.000Z",
  "updated": "2017-09-28T20:40:39.000Z",
  "title": "On global Okounkov bodies of spherical varieties",
  "authors": [
    "Guido Pezzini",
    "Henrik Seppänen"
  ],
  "comment": "10 pages; preliminary version",
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We define and study the global Okounkov moment cone of a projective spherical variety X, generalizing both the global Okounkov body and the moment body of X defined by Kaveh and Khovanskii. Under mild assumptions on X we show that the global Okounkov moment cone of X is rational polyhedral. As a consequence, also the global Okounkov body of X, with respect to a particular valuation, is rational polyhedral.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-28T20:40:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14M27"
    ],
    "keywords": [
      "global okounkov body",
      "spherical variety",
      "global okounkov moment cone",
      "rational polyhedral",
      "moment body"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}