Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve

preprint2008arXivOpen access

Abstract

We describe the Gevrey series solutions at singular points of the irregular hypergeometric system (GKZ system) associated with an affine monomial curve. We also describe the irregularity complex of such a system with respect to its singular support. We use restriction and some results in D-module theory to reduce our study to the two dimensional case.

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