Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 18 (2022), 048, 14 pages      arXiv:2011.00707      https://doi.org/10.3842/SIGMA.2022.048

On the Monodromy Invariant Hermitian Form for $A$-Hypergeometric Systems

Carlo Verschoor
Department of Mathematics, Utrecht University, Utrecht, Budapestlaan 6, 3580 TA, The Netherlands

Received August 24, 2021, in final form June 22, 2022; Published online June 30, 2022

Abstract
We will give an explicit construction of the invariant Hermitian form for the monodromy of an $A$-hypergeometric system given that there is a Mellin-Barnes basis of solutions.

Key words: monodromy; $A$-hypergeometric functions; invariant Hermitian form.

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