{
  "id": "2107.05788",
  "version": "v1",
  "published": "2021-07-13T00:14:22.000Z",
  "updated": "2021-07-13T00:14:22.000Z",
  "title": "Integer decomposition property of polytopes",
  "authors": [
    "Sharon Robins"
  ],
  "comment": "15 pages, 8 figures",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "We study the integer decomposition property of lattice polytopes associated with the $n$-dimensional smooth complete fans with at most $n+3$ rays. Using the classification of smooth complete fans by Kleinschmidt and Batyrev and a reduction to lower dimensional polytopes we prove the integer decomposition property for lattice polytopes in this setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-13T00:14:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "14M25"
    ],
    "keywords": [
      "integer decomposition property",
      "dimensional smooth complete fans",
      "lattice polytopes",
      "lower dimensional polytopes",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}