Irreducibility of \(A\)-hypergeometric systems
type: Item
instance of: scholarly article
title: Irreducibility of \(A\)-hypergeometric systems
zbMATH Open document ID: 1229.33023
published in: Indagationes Mathematicae. New Series
publication date: 2011-09-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1007.4644
review text: The author gives a more elementary proof of a theorem, which was proved by Gelfand-Kapranov-Zelevinsky in 1990, concerning the irreducibility of a system of A-hypergeometric differential equations. Almost at the same time, Schulze and Walter proved the same theorem, without the Cohen-Macauly property and the homogeneity condition.
reviewed by: Chrysoula G. Kokologiannaki
Mathematics Subject Classification ID: 33C70
Mathematics Subject Classification ID: 13C14
zbMATH DE Number: 5949312
zbMATH Keywords: A-hypergeometric systems
zbMATH Keywords: Cohen-Macaulay property
zbMATH Keywords: irreducibility
author: Frits Beukers
MaRDI profile type: Publication
OpenAlex ID: W2089653984
arXiv ID: 1007.4644
cites work: Hypergeometric functions and rings generated by monomials
cites work: Binomial \(D\)-modules
cites work: On $p$ - adic differential equations IV generalized hypergeometric functions as $p$ - adic analytic functions in one variable
cites work: Q3810025
cites work: Hypergeometric functions and toric varieties
cites work: Generalized Euler integrals and \(A\)-hypergeometric functions
cites work: A correction to the paper ``Hypergeometric functions and toric varieties''
cites work: Weyl closure of hypergeometric systems
cites work: Resonance equals reducibility for \(A\)-hypergeometric systems
cites work: Gröbner deformations of hypergeometric differential equations
cites work: GKZ Hypergeometric Structures
cites work: Duality and monodromy reducibility of \(A\)-hypergeometric systems
DOI: 10.1016/J.INDAG.2010.12.002
description: scientific article