{
  "id": "math/0307210",
  "version": "v1",
  "published": "2003-07-15T23:00:55.000Z",
  "updated": "2003-07-15T23:00:55.000Z",
  "title": "Gauss-Manin connections for arrangements, III Formal connections",
  "authors": [
    "Daniel C. Cohen",
    "Peter Orlik"
  ],
  "journal": "Trans. Amer. Math. Soc. 357 (2005), 3031-3050",
  "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 complex rank one local system. We define formal Gauss-Manin connection matrices in the Aomoto complex and prove that, for all arrangements and all local systems, these formal connection matrices specialize to Gauss-Manin connection matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-15T23:00:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S22",
      "14D05",
      "52C35",
      "55N25"
    ],
    "keywords": [
      "arrangement",
      "define formal gauss-manin connection matrices",
      "local system",
      "aomoto complex",
      "formal connection matrices specialize"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7210C"
    }
  }
}