Hodge structure of fibre integrals associated to the affine hypersurface in a torus
نویسنده
چکیده
Abstract. We calculate the fibre integrals of the affine hypersurface in a torus in the form of their Mellin transforms. Especially, our method works efficiently for an affine hypersurface defined by a so called “simpliciable” polynomial. The relations between poles of Mellin transforms of fibre integrals, the mixed Hodge structure of the cohomology of the hypersruface, the hypergeometric differential equation, and the Euler characteristic of fibres are clarified.
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