Bivariate hypergeometric \(D\)-modules

DOI10.1016/j.aim.2004.08.012zbMath1089.33009arXivmath/0310003OpenAlexW2087238392MaRDI QIDQ2566194

Laura Felicia Matusevich, Alicia Dickenstein, Timour Sadykov

Publication date: 22 September 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0310003

zbMATH Keywords

hypergeometric functionsholonomic \(D\)-modulesHorn systemsholonomic rank

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) Appell, Horn and Lauricella functions (33C65) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (12)

Unnamed Item ⋮ Counting solutions to binomial complete intersections ⋮ On normalized Horn systems ⋮ Primary components of codimension two lattice basis ideals ⋮ Torus equivariant \(D\)-modules and hypergeometric systems ⋮ Binomial \(D\)-modules ⋮ Hypergeometric systems of equations with maximally reducible monodromy ⋮ Combinatorics of binomial primary decomposition ⋮ Weyl closure of hypergeometric systems ⋮ Complete intersections in toric ideals ⋮ Upper Bounds for the Analytic Complexity of Puiseux Polynomial Solutions to Bivariate Hypergeometric Systems ⋮ Hypergeometric Functions and Feynman Diagrams

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hypergeometric functions and rings generated by monomials
• Primary decomposition of lattice basis ideals
• Mixed matrices and binomial ideals
• Logarithm-free \(A\)-hypergeometric series
• Elimination theory in codimension 2
• Bounds on degrees of projective schemes
• Initial complexes of prime ideals
• Binomial ideals
• Gröbner deformations of hypergeometric differential equations
• Hypergeometric functions and toric varieties
• Hypergeometric functions of two variables
• General hypergeometric systems of equations and series of hypergeometric type
• On the Horn system of partial differential equations and series of hypergeometric type
• Singularities of hypergeometric functions in several variables

This page was built for publication: Bivariate hypergeometric \(D\)-modules