{
  "id": "1409.1857",
  "version": "v1",
  "published": "2014-09-05T16:13:24.000Z",
  "updated": "2014-09-05T16:13:24.000Z",
  "title": "Global Okounkov bodies for Bott-Samelson varieties",
  "authors": [
    "David Schmitz",
    "Henrik Seppänen"
  ],
  "categories": [
    "math.AG",
    "math.RT"
  ],
  "abstract": "We use the theory of Mori dream spaces and GIT to prove that the global Okounkov body of a Bott-Samelson variety, with respect to a natural flag of subvarieties, is rational polyhedral. As a corollary, Okounkov bodies of effective line bundles over Schubert varieties are shown to be rational polyhedral. In particular, it follows that the global Okounkov body of a flag variety $G/B$ is rational polyhedral. As an application, we derive polyhedral expressions for the asymptotics of weight multiplicites in section spaces of line bundles.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-05T16:13:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14L30",
      "14C20"
    ],
    "keywords": [
      "global okounkov body",
      "bott-samelson variety",
      "rational polyhedral",
      "mori dream spaces",
      "section spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.1857S"
    }
  }
}