Gevrey solutions of irregular hypergeometric systems in two variables
M.C. Fernandez-Fernandez, F.J. Castro-Jimenez (University of, Seville, Spain)
TL;DR
This paper investigates the Gevrey series solutions of irregular hypergeometric systems related to affine plane monomial curves, analyzing their singularities and irregularity complex to deepen understanding of their solution structure.
Contribution
It provides a detailed description of Gevrey solutions and the irregularity complex for GKZ systems associated with affine plane monomial curves, a novel analysis in this context.
Findings
Gevrey solutions characterized at singular points
Irregularity complex described with respect to singular support
Enhanced understanding of solution structure for these systems
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.
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Taxonomy
TopicsPolynomial and algebraic computation · Commutative Algebra and Its Applications · Algebraic Geometry and Number Theory