Period mapping via Brieskorn modules
Morihiko Saito (1991)
Bulletin de la Société Mathématique de France
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Morihiko Saito (1991)
Bulletin de la Société Mathématique de France
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Morihiko Saito (1994)
Bulletin de la Société Mathématique de France
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Sabbah, Claude (2006)
Portugaliae Mathematica. Nova Série
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Antoine Douai, Claude Sabbah (2003)
Annales de l’institut Fourier
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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.
J. H. M. Steenbrink (1995)
Compositio Mathematica
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R. García López, A. Némethi (1999)
Annales de l'institut Fourier
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We attach a limit mixed Hodge structure to any polynomial map . The equivariant Hodge numbers of this mixed Hodge structure are invariants of which reflect its asymptotic behaviour. We compute them for a generic class of polynomials in terms of equivariant Hodge numbers attached to isolated hypersurface singularities and equivariant Hodge numbers of cyclic coverings of projective space branched along a hypersurface. We show how these invariants allow to determine topological invariants...
Morihiko Saito (1990)
Compositio Mathematica
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