Binomial \(D\)-modules

DOI10.1215/00127094-2010-002zbMath1205.13031arXivmath/0610353OpenAlexW2951747478MaRDI QIDQ961477

Laura Felicia Matusevich, Ezra Miller, Alicia Dickenstein

Publication date: 30 March 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610353

zbMATH Keywords

\(A\)-hypergeometric systemsbinomial \(D\)-modulesbinomial Horn systems

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) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Commutative rings of differential operators and their modules (13N10)

Related Items (16)

HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables ⋮ On normalized Horn systems ⋮ Some algebraic aspects of mesoprimary decomposition ⋮ On irregular binomial \(D\)-modules ⋮ Primary components of codimension two lattice basis ideals ⋮ Torus equivariant \(D\)-modules and hypergeometric systems ⋮ Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation ⋮ On the analytic complexity of hypergeometric functions ⋮ Combinatorics of binomial primary decomposition ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Irreducibility of \(A\)-hypergeometric systems ⋮ Singularities and holonomicity of binomial \(D\)-modules ⋮ On matrix and lattice ideals of digraphs ⋮ The singular locus of Lauricella's \(F_C\) ⋮ Weyl closure of hypergeometric systems ⋮ A-graded methods for monomial ideals

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