Irreducible quotients ofA-hypergeometric systems

DOI10.1112/S0010437X10004987zbMath1219.33012OpenAlexW2044170507MaRDI QIDQ2994891

Mutsumi Saito

Publication date: 29 April 2011

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x10004987

zbMATH Keywords

toric varietyresonanceirreducibilityring of differential operators\(A\)-hypergeometric systems

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (9)

Computing differential equations for integrals associated to smooth Fano polytope ⋮ Torus equivariant \(D\)-modules and hypergeometric systems ⋮ Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation ⋮ First Syzygies of irreducible \(A\)-hypergeometric quotients ⋮ ON MELLIN-BARNES INTEGRAL REPRESENTATIONS FOR GKZ HYPERGEOMETRIC FUNCTIONS ⋮ Monodromies at infinity of confluent \(A\)-hypergeometric functions ⋮ Algebraic aspects of hypergeometric differential equations ⋮ On irregularities of Fourier transforms of regular holonomic \(\mathcal{D}\)-modules ⋮ On the local monodromy of \(A\)-hypergeometric functions and some monodromy invariant subspaces

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