{
  "id": "1210.3523",
  "version": "v2",
  "published": "2012-10-12T14:11:15.000Z",
  "updated": "2013-02-06T12:49:14.000Z",
  "title": "Functions on Okounkov bodies coming from geometric valuations (with an appendix by Sébastien Boucksom)",
  "authors": [
    "Alex Küronya",
    "Catriona Maclean",
    "Tomasz Szemberg"
  ],
  "comment": "30 pages, an appendix by S\\'ebastien Boucksom has been added",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "We study topological properties of functions on Okounkov bodies as introduced by Boucksom-Chen and Witt-Nystr\\\"om. We note that they are continuous over the whole Okounkov body whenever the body is polyhedral, on the other hand, we exhibit an example that shows that continuity along the boundary does not hold in general.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-06T12:49:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "32Q15"
    ],
    "keywords": [
      "okounkov body",
      "okounkov bodies coming",
      "geometric valuations",
      "sébastien boucksom",
      "study topological properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.3523K"
    }
  }
}