Hypergeometric periods for a tame polynomial

Details Hypergeometric periods for a tame polynomial Hypergeometric periods for a tame polynomial

1998-05-18

arxiv.org/abs/math/9805077v1

C. R. Acad. Sci. Paris Ser. I Math. t.328 (1999) 603-608 & Port. Math. (N.S.) 63 (2006), no. 2, 173--226

Mathematics

Algebraic Geometry

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

Scientific paper

10.1016/S0764-4442(99)80254-7

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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