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Hypergeometric periods for a tame polynomial

Claude Sabbah
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Abstract

We analyse the Gauss-Manin system of differential equations---and its Fourier transform---attached to regular functions satisfying a tameness assupmption on a smooth affine variety over C (e.g. tame polynomials on C^{n+1}). We give a solution to the Birkhoff problem and prove Hodge-type results analogous to those existing for germs of isolated hypersurface singularities.

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Claude Sabbah. 1998-05-18. Hypergeometric periods for a tame polynomial. https://doi.org/10.1016/s0764-4442(99)80254-7

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