{
  "id": "1209.3941",
  "version": "v2",
  "published": "2012-09-18T12:57:55.000Z",
  "updated": "2013-09-03T14:29:59.000Z",
  "title": "Laurent Polynomials, GKZ-hypergeometric Systems and Mixed Hodge Modules",
  "authors": [
    "Thomas Reichelt"
  ],
  "comment": "34 pages",
  "doi": "10.1112/S0010437X13007744",
  "categories": [
    "math.AG"
  ],
  "abstract": "Given a family of Laurent polynomials, we will construct a morphism between its (proper) Gauss-Manin system and a direct sum of associated GKZ systems. The kernel and cokernel of this morphism are very simple and consist of free O-modules. The result above enables us to put a mixed Hodge module structure on certain classes of GKZ systems and shows that they have quasi-unipotent monodromy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-03T14:29:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S40",
      "14D07",
      "32S35"
    ],
    "keywords": [
      "laurent polynomials",
      "gkz-hypergeometric systems",
      "mixed hodge module structure",
      "free o-modules",
      "gauss-manin system"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.3941R"
    }
  }
}