On the parametric behavior of A-hypergeometric series

TL;DR

This paper investigates how the solutions of A-hypergeometric systems depend on parameters, providing explicit stratifications of the parameter space where solutions are holomorphic.

Contribution

It introduces explicit stratifications of the parameter space for A-hypergeometric systems, clarifying the parametric behavior of their series solutions.

Findings

Constructed explicit stratifications of parameter space

Identified regions where solutions are holomorphic

Enhanced understanding of solution behavior across parameters

Abstract

We describe the parametric behavior of the series solutions of an A-hypergeometric system. More precisely, we construct explicit stratifications of the parameter space such that, on each stratum, the series solutions of the system are holomorphic.