{
  "id": "2209.13193",
  "version": "v1",
  "published": "2022-09-27T06:50:06.000Z",
  "updated": "2022-09-27T06:50:06.000Z",
  "title": "Cohomology of $\\mathbb{Z}$-local systems on complex hyperplane arrangement complements",
  "authors": [
    "Yongqiang Liu",
    "Laurenţiu Maxim",
    "Botong Wang"
  ],
  "categories": [
    "math.AT",
    "math.AG"
  ],
  "abstract": "We prove a Cohen-Dimca-Orlik type theorem for rank one $\\mathbb{Z}$-local systems on complex hyperplane arrangement complements. This settles a recent conjecture of S. Sugawara.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-27T06:50:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S22",
      "52C35",
      "55N25"
    ],
    "keywords": [
      "complex hyperplane arrangement complements",
      "local systems",
      "cohomology",
      "cohen-dimca-orlik type theorem",
      "conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}