Logarithm-free A-hypergeometric series

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dc.creatorSaito, Mutsumi
dc.date2000-12-28
dc.date.accessioned2026-07-07T04:39:26Z
dc.date.available2026-07-07T04:39:26Z
dc.descriptionWe give a dimension formula for the space of logarithm-free series solutions to an A-hypergeometric (or a GKZ hypergeometric) system. In the case where the convex hull spanned by A is a simplex, we give a rank formula for the system, characterize the exceptional set, and prove the equivalence of the Cohen-Macaulayness of the toric variety defined by A with the emptiness of the exceptional set. Furthermore we classify A-hypergeometric systems as analytic D-modules.
dc.description20 pages, 2 figures, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0012257
dc.identifierhttp://arxiv.org/abs/math/0012257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60658
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject33C70; 14M25; 13N10; 16S32
dc.titleLogarithm-free A-hypergeometric series
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