{
  "id": "1304.4246",
  "version": "v1",
  "published": "2013-04-15T20:01:06.000Z",
  "updated": "2013-04-15T20:01:06.000Z",
  "title": "Minkowski decomposition of Okounkov bodies on surfaces",
  "authors": [
    "Patrycja \\Luszcz-Świdecka",
    "David Schmitz"
  ],
  "comment": "13 pages, 5 figures",
  "categories": [
    "math.AG"
  ],
  "abstract": "We prove that the Okounkov body of a big divisor with respect to a general flag on a smooth projective surface whose pseudo-effective cone is rational polyhedral decomposes as the Minkowski sum of finitely many simplices and line segments arising as Okounkov bodies of nef divisors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-15T20:01:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14J26"
    ],
    "keywords": [
      "okounkov body",
      "minkowski decomposition",
      "rational polyhedral decomposes",
      "minkowski sum",
      "general flag"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.4246L"
    }
  }
}