Hypergeometric periods for a tame polynomial

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.

AMS-LaTeX with amsart.sty. Uses XY-pic package. 43 pages

References in corpus (1)

• Hypergeometric periods for a tame polynomial

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