{
  "id": "math/0511294",
  "version": "v2",
  "published": "2005-11-11T11:21:59.000Z",
  "updated": "2006-05-02T14:57:38.000Z",
  "title": "Classification of pseudo-symmetric simplicial reflexive polytopes",
  "authors": [
    "Benjamin Nill"
  ],
  "comment": "AMS-LaTeX, 16 pages; references updated, introduction corrected",
  "journal": "Contemporary Mathematics 423 (2007), 269-282",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "A reflexive polytope, respectively its associated Gorenstein toric Fano variety, is called pseudo-symmetric, if the polytope has a centrally symmetric pair of facets. Here we present a complete classification of pseudo-symmetric simplicial reflexive polytopes together with some applications. This generalizes a result of Ewald on pseudo-symmetric nonsingular toric Fano varieties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-02T14:57:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "14M25",
      "14J45",
      "52B12"
    ],
    "keywords": [
      "pseudo-symmetric simplicial reflexive polytopes",
      "classification",
      "pseudo-symmetric nonsingular toric fano varieties",
      "associated gorenstein toric fano variety"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11294N"
    }
  }
}