{
  "id": "0909.1134",
  "version": "v1",
  "published": "2009-09-07T02:46:58.000Z",
  "updated": "2009-09-07T02:46:58.000Z",
  "title": "Face numbers of generalized balanced Cohen-Macaulay complexes",
  "authors": [
    "Jonathan Browder",
    "Isabella Novik"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A common generalization of two theorems on the face numbers of Cohen-Macaulay (CM, for short) simplicial complexes is established: the first is the theorem of Stanley (necessity) and Bjorner-Frankl-Stanley (sufficiency) that characterizes all possible face numbers of a-balanced CM complexes, while the second is the theorem of Novik (necessity) and Browder (sufficiency) that characterizes the face numbers of CM subcomplexes of the join of the boundaries of simplices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-07T02:46:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55U10",
      "05E99"
    ],
    "keywords": [
      "face numbers",
      "generalized balanced cohen-macaulay complexes",
      "common generalization",
      "a-balanced cm complexes",
      "characterizes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.1134B"
    }
  }
}