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Subjects
32-XX Several complex variables and analytic spaces
32Gxx Deformations of analytic structures
32G20 Period matrices, variation of Hodge structure; degenerations

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

Antoine Douai, Claude Sabbah (2003)

Annales de l’institut Fourier

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.

Generic torelli for projective hypersurfaces

Ron Donagi (1983)

Compositio Mathematica

Currently displaying 1 – 2 of 2

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