{
  "id": "1911.04083",
  "version": "v1",
  "published": "2019-11-11T05:26:36.000Z",
  "updated": "2019-11-11T05:26:36.000Z",
  "title": "Lefschetz Properties and Hyperplane Arrangements",
  "authors": [
    "Elisa Palezzato",
    "Michele Torielli"
  ],
  "categories": [
    "math.CO",
    "math.AC",
    "math.AG"
  ],
  "abstract": "In this article, we study the weak and strong Lefschetz properties, and the related notion of almost revlex ideal, in the non-Artinian case, proving that several results known in the Artinian case hold also in this more general setting. We then apply the obtained results to the study of the Jacobian algebra of hyperplane arrangements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-11T05:26:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperplane arrangements",
      "artinian case hold",
      "strong lefschetz properties",
      "revlex ideal",
      "jacobian algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}