{
  "id": "math/0010213",
  "version": "v3",
  "published": "2000-10-23T03:19:55.000Z",
  "updated": "2001-02-13T04:10:38.000Z",
  "title": "On polytopes simple in edges",
  "authors": [
    "Vladlen Timorin"
  ],
  "comment": "Rewritten. The first version contained fatal errors. 16 pages, to be published in Func. Anal. and Appl",
  "journal": "Funct. Anal. Appl. 35(2001) no. 3, pp. 189-198",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We investigate some combinatorial properties of convex polytopes simple in edges. For polytopes whose nonsimple vertices are located sufficiently far one from another, we prove an analog of the Hard Lefschetz theorem. It implies Stanley's conjecture for such polytopes.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-02-13T04:10:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M25",
      "52B05",
      "14F43"
    ],
    "keywords": [
      "convex polytopes simple",
      "hard lefschetz theorem",
      "implies stanleys conjecture",
      "combinatorial properties",
      "nonsimple vertices"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math.....10213T"
    }
  }
}