{
  "id": "1001.4566",
  "version": "v3",
  "published": "2010-01-25T23:25:22.000Z",
  "updated": "2012-10-30T17:46:35.000Z",
  "title": "Okounkov bodies and toric degenerations",
  "authors": [
    "Dave Anderson"
  ],
  "comment": "v3: final version, some expository improvements in Section 5, to appear in Math. Ann",
  "journal": "Math. Ann. 356 (2013), no. 3, 1183-1202",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "Let \\Delta be the Okounkov body of a divisor D on a projective variety X. We describe a geometric criterion for \\Delta to be a lattice polytope, and show that in this situation X admits a flat degeneration to the corresponding toric variety. This degeneration is functorial in an appropriate sense.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-10-30T17:46:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C20",
      "14D06",
      "14M25",
      "52B20",
      "32M10",
      "14M15",
      "14M17"
    ],
    "keywords": [
      "okounkov body",
      "toric degenerations",
      "appropriate sense",
      "flat degeneration",
      "geometric criterion"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.4566A"
    }
  }
}