On irregular binomial \(D\)-modules

DOI10.1007/s00209-012-0988-xzbMath1262.32011arXiv1012.0618OpenAlexW1970863443MaRDI QIDQ1925761

Francisco-Jesús Castro-Jiménez, María Cruz Fernández-Fernández

Publication date: 19 December 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0618

zbMATH Keywords

slopebinomial \(\mathcal D\)-moduleGevrey solution

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Sheaves of differential operators and their modules, (D)-modules (32C38) Commutative rings of differential operators and their modules (13N10)

Related Items (4)

On normalized Horn systems ⋮ Torus equivariant \(D\)-modules and hypergeometric systems ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Singularities and holonomicity of binomial \(D\)-modules

Cites Work

• Gevrey solutions of irregular hypergeometric systems in two variables
• Irregularity of hypergeometric systems via slopes along coordinate subspaces
• Binomial \(D\)-modules
• Irregular hypergeometric \(\mathcal D\)-modules
• Hypergeometric functions and rings generated by monomials
• Slopes of hypergeometric systems of codimension one
• Binomial ideals
• Gröbner deformations of hypergeometric differential equations
• Combinatorics of binomial primary decomposition
• Gevrey solutions of the irregular hypergeometric system associated with an affine monomial curve
• 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
• Homological methods for hypergeometric families
• Irregular hypergeometric systems associated with a singular monomial curve

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