{
  "id": "math/0207114",
  "version": "v1",
  "published": "2002-07-12T20:17:16.000Z",
  "updated": "2002-07-12T20:17:16.000Z",
  "title": "Gauss-Manin connections for arrangements, II Nonresonant weights",
  "authors": [
    "Daniel C. Cohen",
    "Peter Orlik"
  ],
  "journal": "Amer. J. Math. 127 (2005), 569-594",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We study the Gauss-Manin connection for the moduli space of an arrangement of complex hyperplanes in the cohomology of a nonresonant complex rank one local system. Aomoto and Kita determined this Gauss-Manin connection for arrangements in general position. We use their results and an algorithm constructed in this paper to determine this Gauss-Manin connection for all arrangements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-12T20:17:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S22",
      "14D05",
      "52C35",
      "55N25"
    ],
    "keywords": [
      "gauss-manin connection",
      "nonresonant weights",
      "arrangement",
      "nonresonant complex rank",
      "moduli space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......7114C"
    }
  }
}