{
  "id": "0911.2287",
  "version": "v2",
  "published": "2009-11-12T06:08:42.000Z",
  "updated": "2011-01-01T04:41:08.000Z",
  "title": "Okounkov bodies on projectivizations of rank two toric vector bundles",
  "authors": [
    "José Luis González"
  ],
  "comment": "26 pages, 2 figures; v.2: application added, minor changes otherwise; to appear in the Journal of Algebra",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "The global Okounkov body of a projective variety is a closed convex cone that encodes asymptotic information about every big line bundle on the variety. In the case of a rank two toric vector bundle E on a smooth projective toric variety, we use its Klyachko filtrations to give an explicit description of the global Okounkov body of P(E). In particular, we show that this is a rational polyhedral cone and that P(E) is a Mori dream space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-01-01T04:41:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "14C20",
      "14F05"
    ],
    "keywords": [
      "toric vector bundle",
      "global okounkov body",
      "projectivizations",
      "big line bundle",
      "smooth projective toric variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.2287G"
    }
  }
}