{
  "id": "math/0405448",
  "version": "v1",
  "published": "2004-05-24T14:53:36.000Z",
  "updated": "2004-05-24T14:53:36.000Z",
  "title": "Gorenstein toric Fano varieties",
  "authors": [
    "Benjamin Nill"
  ],
  "comment": "AMS-LaTeX, 29 pages with 5 figures",
  "journal": "Manuscripta Math. 116 (2005), 183-210",
  "doi": "10.1007/s00229-004-0532-3",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We investigate Gorenstein toric Fano varieties by combinatorial methods using the notion of a reflexive polytope which appeared in connection to mirror symmetry. The paper contains generalisations of tools and previously known results for nonsingular toric Fano varieties. As applications we obtain new classification results, bounds of invariants and formulate conjectures concerning combinatorial and geometrical properties of reflexive polytopes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-24T14:53:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14J45",
      "14M25",
      "52B20"
    ],
    "keywords": [
      "gorenstein toric fano varieties",
      "nonsingular toric fano varieties",
      "paper contains generalisations",
      "reflexive polytope",
      "formulate conjectures concerning combinatorial"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5448N"
    }
  }
}