Singularities of Nonconfluent Hypergeometric Functions in Several Variables

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dc.creatorPassare, Mikael
dc.creatorSadykov, Timur
dc.creatorTsikh, August
dc.date2004-05-13
dc.date.accessioned2026-07-07T05:08:14Z
dc.date.available2026-07-07T05:08:14Z
dc.descriptionThe paper deals with singularities of nonconfluent hypergeometric functions in several variables. Typically such a function is a multi-valued analytic function with singularities along an algebraic hypersurface. We describe such hypersurfaces in terms of amoebas and the Newton polytopes of their defining polynomials. In particular, we show that all $\mathcal{A}$-discriminantal hypersurfaces (in the sense of Gelfand, Kapranov and Zelevinsky) have solid amoebas, that is, amoebas with the minimal number of complement components.
dc.description30 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0405259
dc.identifierhttp://arxiv.org/abs/math/0405259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71180
dc.subjectComplex Variables
dc.subjectAnalysis of PDEs
dc.subject32A20; 33C70
dc.titleSingularities of Nonconfluent Hypergeometric Functions in Several Variables
dc.typetext

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