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Article Dans Une Revue Annales de l'Institut Fourier Année : 2003

Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I)

Antoine Douai
Claude Sabbah

Résumé

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.

Dates et versions

hal-00816194 , version 1 (20-04-2013)

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Antoine Douai, Claude Sabbah. Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I). Annales de l'Institut Fourier, 2003, 53 (4), pp.1055-1116. ⟨hal-00816194⟩
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