Title: Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I)
Abstract:We associate to any convenient nondegenerate Laurent polynomial f on the complex torus (ℂ * ) n a canonical Frobenius-Saito structure on the base space of its universal unfolding. According to the met...We associate to any convenient nondegenerate Laurent polynomial f 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 f (or its universal unfolding) and of the corresponding Hodge theory.Read More