{
  "id": "math/0306228",
  "version": "v2",
  "published": "2003-06-15T11:12:36.000Z",
  "updated": "2004-04-16T04:03:09.000Z",
  "title": "Some characterizations of freeness of hyperplane arrangement",
  "authors": [
    "Masahiko Yoshinaga"
  ],
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "We will consider some characterizations of freeness of a hyperplane arrangement, in terms of the following properties: locally freeness, factorization of characteristic polynomial and freeness of restricted multiarrangement. In the case of 3-arrangement, freeness is characterized by factorization of characteristic polynomial and coincidence of its roots with exponents of restricted multiarrangement. In the case of higher dimension, it is characterized by a kind of locally freeness and freeness of restricted multiarrangement. As an application, we prove the freeness of certain arrangements which is conjectured by Edelman and Reiner.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-04-16T04:03:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35",
      "20F55"
    ],
    "keywords": [
      "hyperplane arrangement",
      "restricted multiarrangement",
      "characterizations",
      "characteristic polynomial",
      "locally freeness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6228Y"
    }
  }
}