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

Mathematics – Algebraic Geometry

Scientific paper

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Most of the results of this paper are contained in arXiv:0804.0809v2 [math.AG]. Some references added. Corrected typos

Scientific paper

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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