{
  "id": "math/0105063",
  "version": "v3",
  "published": "2001-05-09T05:33:32.000Z",
  "updated": "2002-03-18T22:06:57.000Z",
  "title": "Gauss-Manin Connections for Arrangements",
  "authors": [
    "Daniel C. Cohen",
    "Peter Orlik"
  ],
  "comment": "LaTeX, 15 pages. v2: minor changes. v3: 16 pages, to appear in Compositio Math",
  "journal": "Compositio Math. 136 (2003), 299-316",
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "We construct a formal connection on the Aomoto complex of an arrangement of hyperplanes, and use it to study the Gauss-Manin connection for the moduli space of the arrangement in the cohomology of a complex rank one local system. We prove that the eigenvalues of the Gauss-Manin connection are integral linear combinations of the weights which define the local system.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2002-03-18T22:06:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S22",
      "14D05",
      "52C35",
      "55N25"
    ],
    "keywords": [
      "gauss-manin connection",
      "arrangement",
      "local system",
      "integral linear combinations",
      "aomoto complex"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......5063C"
    }
  }
}