Irregular hypergeometric systems associated with a singular monomial curve

DOI10.1090/S0002-9947-04-03614-1zbMath1082.32004OpenAlexW2166745616MaRDI QIDQ5461399

María Isabel Hartillo Hermoso

Publication date: 26 July 2005

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03614-1

zbMATH Keywords

characteristic varietyslopesirregular hypergeometric systems

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Sheaves of differential operators and their modules, (D)-modules (32C38) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Commutative rings of differential operators and their modules (13N10)

Related Items (6)

On irregular binomial \(D\)-modules ⋮ Irregularity of hypergeometric systems via slopes along coordinate subspaces ⋮ Gevrey solutions of irregular hypergeometric systems in two variables ⋮ Irregular hypergeometric \(\mathcal D\)-modules ⋮ Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve ⋮ Irregular modified $A$-hypergeometric systems

Cites Work

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• Hypergeometric functions and rings generated by monomials
• Slopes of hypergeometric systems of codimension one
• Gröbner deformations of hypergeometric differential equations
• Hypergeometric functions and toric varieties
• Polygône de Newton et $b$-fonctions pour les modules microdifférentiels
• Pentes algébriques et pentes analytiques d'un -module
• Singularities of the hypergeometric system associated with a monomial curve

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