Restriction of hypergeometric 𝒟-modules with respect to coordinate subspaces

DOI10.1090/S0002-9939-2011-10836-0zbMath1232.13016OpenAlexW1513138976MaRDI QIDQ3092841

Uli Walther, María Cruz Fernández-Fernández

Publication date: 11 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10836-0

zbMATH Keywords

hypergeometric \(D\)-module

Mathematics Subject Classification ID

Commutative rings of differential operators and their modules (13N10) Families, fibrations in algebraic geometry (14D99)

Related Items (3)

Composition series for GKZ-systems ⋮ On the local monodromy of \(A\)-hypergeometric functions and some monodromy invariant subspaces ⋮ Dualizing, projecting, and restricting GKZ systems

Cites Work

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• Duality and monodromy reducibility of \(A\)-hypergeometric systems
• Algorithms for \(b\)-functions, restrictions, and algebraic local cohomology groups of \(D\)-modules
• Hypergeometric functions and toric varieties
• Hypergeometric D-modules and twisted Gauß-Manin systems
• Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
• Singularities of the hypergeometric system associated with a monomial curve
• Homological methods for hypergeometric families
• Algorithms for \(D\)-modules -- restriction, tensor product, localization, and local cohomology groups

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