{
  "id": "1903.01438",
  "version": "v1",
  "published": "2019-03-02T11:26:24.000Z",
  "updated": "2019-03-02T11:26:24.000Z",
  "title": "Some remarks on free arrangements",
  "authors": [
    "Torsten Hoge",
    "Gerhard Roehrle"
  ],
  "comment": "11 p. arXiv admin note: text overlap with arXiv:1510.00213",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "We exhibit a particular free subarrangement of a certain restriction of the Weyl arrangement of type $E_7$ and use it to give an affirmative answer to a recent conjecture by T.~Abe on the nature of additionally free and stair-free arrangements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-02T11:26:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "52C35",
      "14N20",
      "32S22",
      "51D20",
      "51F15"
    ],
    "keywords": [
      "stair-free arrangements",
      "weyl arrangement",
      "free subarrangement",
      "restriction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}