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We associate to any convenient nondegenerate Laurent polynomial on the complex torus
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 (or its universal unfolding) and of the
corresponding Hodge theory.
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