Hodge structure of fibre integrals associated to the afine hypersurface in a torus

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dc.creatorTanabé, Susumu
dc.date2002-06-12
dc.date2004-06-21
dc.date.accessioned2026-07-07T04:49:05Z
dc.date.available2026-07-07T04:49:05Z
dc.descriptionWe calculate the fibre integrals of the 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 hypersurface, the hypergeometric differential equation and the Euler characteristic of fibres are clarified.
dc.description12 pages, minor errors are corrected
dc.identifierhttps://arxiv.org/abs/math/0206126
dc.identifierhttp://arxiv.org/abs/math/0206126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64291
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14M10; 32S25; 32S40
dc.titleHodge structure of fibre integrals associated to the afine hypersurface in a torus
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