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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2022 Volume 18, 048, 14 pp. (Mi sigma1844)

This article is cited in 1 paper

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

Carlo Verschoor

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

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.

Keywords: monodromy, $A$-hypergeometric functions, invariant Hermitian form.

MSC: 14D05, 33C70

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

Language: English

DOI: 10.3842/SIGMA.2022.048



Bibliographic databases:
ArXiv: 2011.00707


© Steklov Math. Inst. of RAS, 2026