Hypergeometric period for a tame polynomial

Claude Sabbah

doi:10.1016/S0764-4442(99)80254-7

Hypergeometric period for a tame polynomial

Titre traduit de la contribution: Période hypergéométrique pour un polynôme modéré

Claude Sabbah

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We analyze the Gauss-Manin system of differential equations (and its Fourier transform) attached to regular functions satisfying a tameness assumption on a smooth affine variety over C (e.g. tame polynomials on Cn+1). We give a solution to the Birkhoff problem for this system and prove Hodge-type results analogous to those existing for germs of isolated hypersurface singularities. We deduce a formula for the determinant of the "Aomoto complex".

Titre traduit de la contribution	Période hypergéométrique pour un polynôme modéré
langue originale	Anglais
Pages (de - à)	603-608
Nombre de pages	6
journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	328
Numéro de publication	7
Les DOIs	https://doi.org/10.1016/S0764-4442(99)80254-7
état	Publié - 1 janv. 1999

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10.1016/S0764-4442(99)80254-7

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Hypergeometric period for a tame polynomial

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