Antoine Douai, Claude Sabbah
Published 2002-11-22, updated 2003-04-08Version 2
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.
Comments: 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
Gauss-Manin systems, Brieskorn lattices and Frobenius structures (II)
Curvature of classifying spaces for Brieskorn lattices
The Gauss-Manin system of an ICIS
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