Singularities of Nonconfluent Hypergeometric Functions in Several Variables

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The 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.
30 pages, 7 figures

Keywords

Complex Variables, Analysis of PDEs, 32A20; 33C70

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/71180

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405259
 http://arxiv.org/abs/math/0405259

Collections

arXiv