Monodromy of \(A\)-hypergeometric functions

DOI10.1515/crelle-2014-0054zbMath1355.33017arXiv1101.0493OpenAlexW2963561038MaRDI QIDQ314117

Frits Beukers

Publication date: 13 September 2016

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0493

zbMATH Keywords

monodromy groupA-hypergeometric functionsMellin-Barnes integrals

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Appell, Horn and Lauricella functions (33C65) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (17)

Feynman integrals and mirror symmetry ⋮ Perverse schobers and GKZ systems ⋮ On the monodromy invariant Hermitian form for \(A\)-hypergeometric systems ⋮ Coamoebas of Polynomials Supported on Circuits ⋮ HMS symmetries and hypergeometric systems ⋮ Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation ⋮ \texttt{FeynGKZ}: a \textit{Mathematica} package for solving Feynman integrals using GKZ hypergeometric systems ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ Analytic continuations of a general algebraic function by means of Puiseux series ⋮ A system of hypergeometric differential equations in two variables of rank 9 ⋮ Discriminant amoebas and lopsidedness ⋮ On the order map for hypersurface coamoebas ⋮ Algebraic aspects of hypergeometric differential equations ⋮ On the local monodromy of \(A\)-hypergeometric functions and some monodromy invariant subspaces ⋮ Domains of Convergence for A-hypergeometric Series and Integrals ⋮ Irregular modified $A$-hypergeometric systems ⋮ Hypergeometric Functions and Feynman Diagrams

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