{
  "id": "1406.0302",
  "version": "v2",
  "published": "2014-06-02T09:11:59.000Z",
  "updated": "2015-05-08T14:13:27.000Z",
  "title": "Deletion-restriction in toric arrangements",
  "authors": [
    "Priyavrat Deshpande",
    "Kavita Sutar"
  ],
  "comment": "v2: typos fixed, 11 pages. Accepted for publication in Journal of Ramanujan Mathematical Society",
  "categories": [
    "math.AT"
  ],
  "abstract": "Deletion-restriction is a fundamental tool in the theory of hyperplane arrangements. Various important results in this field have been proved using deletion-restriction. In this paper we use deletion-restriction to identify a class of toric arrangements for which the cohomology algebra of the complement is generated in degree $1$. We also show that for these arrangements the complement is formal in the sense of Sullivan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-02T09:11:59.000Z",
      "comment": "9 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-05-08T14:13:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C35",
      "57N80",
      "05E45"
    ],
    "keywords": [
      "toric arrangements",
      "deletion-restriction",
      "fundamental tool",
      "hyperplane arrangements",
      "important results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.0302D"
    }
  }
}