{
  "id": "math/0211352",
  "version": "v2",
  "published": "2002-11-22T10:53:10.000Z",
  "updated": "2003-04-08T07:47:08.000Z",
  "title": "Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I)",
  "authors": [
    "Antoine Douai",
    "Claude Sabbah"
  ],
  "comment": "52 pages, 2 figures, LaTeX + smf classes available at http://smf.emath.fr/Publications/Formats/index.html typos corrected, remarks added at the end of the introduction, in sect. 3, and a new appendix added. to appear in Ann. Institut Fourier (Grenoble)",
  "journal": "Proceedings of the International Conference in Honor of Fr\\'ed\\'eric Pham (Nice, 2002). Ann. Inst. Fourier (Grenoble) 53 (2003), no. 4, 1055--1116",
  "categories": [
    "math.AG",
    "math.CV"
  ],
  "abstract": "We associate to any convenient nondegenerate Laurent polynomial on the complex torus (C^*)^n a canonical Frobenius-Saito structure on the base space of its universal unfolding. According to the method of K. Saito (primitive forms) and of M. Saito (good basis of the Gauss-Manin system), the main problem, which is solved in this article, is the analysis of the Gauss-Manin system of the Laurent polynomial (or its universal unfolding) and of the corresponding Hodge theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-04-08T07:47:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32S40",
      "32S30",
      "32G34",
      "32G20",
      "34Mxx"
    ],
    "keywords": [
      "gauss-manin system",
      "frobenius structures",
      "brieskorn lattices",
      "convenient nondegenerate laurent polynomial",
      "corresponding hodge theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 52,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11352D"
    }
  }
}