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Gevrey solutions of irregular hypergeometric systems in two variables

2008/11/20 by M. C. Fernandez-Fernandez, F. J. Castro-Jimenez
Mathematics · #math.AG #msc:32C38 #msc:13N10 #msc:13P10 #msc:14F10 #msc:14M25

paper · pdf

published as J. Algebra 339 (2011), 320-335 · Most of the results of this paper are contained in arXiv:0804.0809v2 [math.AG]

arxiv created 2008/11/20 · arxiv updated 2013/07/05

Abstract

We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine plane monomial curve. We also describe the irregularity complex of such a system with respect to its singular support.

Citations