Hypergeometric period for a tame polynomial

Claude Sabbah

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

Hypergeometric period for a tame polynomial

Claude Sabbah

Research output: Contribution to journal › Article › peer-review

Abstract

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".

Translated title of the contribution	Période hypergéométrique pour un polynôme modéré
Original language	English
Pages (from-to)	603-608
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	328
Issue number	7
DOIs	https://doi.org/10.1016/S0764-4442(99)80254-7
Publication status	Published - 1 Jan 1999

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title = "Hypergeometric period for a tame polynomial",

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N2 - 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".

AB - 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".

U2 - 10.1016/S0764-4442(99)80254-7

DO - 10.1016/S0764-4442(99)80254-7

M3 - Article

AN - SCOPUS:0033114677

SN - 0764-4442

VL - 328

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 7

ER -

Hypergeometric period for a tame polynomial

Abstract

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