{
  "id": "math/0307280",
  "version": "v2",
  "published": "2003-07-21T14:49:29.000Z",
  "updated": "2003-10-10T12:22:40.000Z",
  "title": "Defining equations of subspace arrangements embedded in reflection arrangements",
  "authors": [
    "Jessica Sidman"
  ],
  "comment": "14 pages, AMS LaTex. Minor changes in exposition. Typos corrected and reference added",
  "journal": "Int. Math. Res. Not. 2004, no. 15, 713-727",
  "doi": "10.1155/S1073792804132157",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "We give explicit generators for ideals of two classes of subspace arrangements embedded in certain reflection arrangements, generalizing results of Li-Li and Kleitman-Lovasz. We also give minimal generators for the ideals of arrangements that arise in a natural way from the p-skeleton of an n-dimensional cube and discuss conditions under which the generators that we give form a Groebner basis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-10-10T12:22:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35",
      "13P10"
    ],
    "keywords": [
      "subspace arrangements",
      "reflection arrangements",
      "defining equations",
      "explicit generators",
      "minimal generators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7280S"
    }
  }
}