{
  "id": "1807.03970",
  "version": "v1",
  "published": "2018-07-11T07:28:22.000Z",
  "updated": "2018-07-11T07:28:22.000Z",
  "title": "The Minkowski Property and Reflexivity of Marked Poset Polytopes",
  "authors": [
    "Xin Fang",
    "Ghislain Fourier",
    "Christoph Pegel"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the Minkowski property and reflexivity of marked poset polytopes. Both are relevant to the study of toric varieties associated to marked poset polytopes: the Minkowski property can be used to obtain generators of coordinate rings, while reflexive polytopes correspond to Gorenstein-Fano toric varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-11T07:28:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "06A07"
    ],
    "keywords": [
      "marked poset polytopes",
      "minkowski property",
      "reflexivity",
      "gorenstein-fano toric varieties",
      "coordinate rings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}