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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 048, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.048 (Mi sigma1844) 		 
On the Monodromy Invariant Hermitian Form for $A$-Hypergeometric Systems

Carlo Verschoor

Department of Mathematics, Utrecht University, Utrecht, Budapestlaan 6, 3580 TA, The Netherlands
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DOI: https://doi.org/10.3842/SIGMA.2022.048
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.
Received: August 24, 2021; in final form June 22, 2022; Published online June 30, 2022
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Document Type: Article
MSC: 14D05, 33C70
Language: English
Citation: Carlo Verschoor, “On the Monodromy Invariant Hermitian Form for $A$-Hypergeometric Systems”, SIGMA, 18 (2022), 048, 14 pp.
Citation in format AMSBIB
\Bibitem{Ver22}
\by Carlo~Verschoor
\paper On the Monodromy Invariant Hermitian Form for $A$-Hypergeometric Systems
\jour SIGMA
\yr 2022
\vol 18
\papernumber 048
\totalpages 14
\mathnet{http://mi.mathnet.ru/sigma1844}
\crossref{https://doi.org/10.3842/SIGMA.2022.048}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4445979}
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