Logarithm-free \(A\)-hypergeometric series

DOI10.1215/S0012-7094-02-11512-9zbMath1031.33011arXivmath/0012257MaRDI QIDQ1857112

Mutsumi Saito

Publication date: 24 March 2003

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

Full work available at URL: https://arxiv.org/abs/math/0012257

zbMATH Keywords

\(A\)-hypergeometric series

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Commutative rings of differential operators and their modules (13N10) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (11)

Hypergeometric functions for projective toric curves ⋮ Arbitrary rank jumps forA-hypergeometric systems through Laurent polynomials ⋮ Homological methods for hypergeometric families ⋮ Logarithmic \(A\)-hypergeometric series II ⋮ On the parametric behavior of $A$-hypergeometric series ⋮ Cohen-Macaulay property of Feynman integrals ⋮ Logarithmic A-hypergeometric series ⋮ Gevrey and formal Nilsson solutions of \(A\)-hypergeometric systems ⋮ Irregular hypergeometric \(\mathcal D\)-modules ⋮ Combinatorics of rank jumps in simplicial hypergeometric systems ⋮ Bivariate hypergeometric \(D\)-modules

Cites Work

• Hypergeometric functions and rings generated by monomials
• Gröbner deformations of hypergeometric differential equations
• The \({\mathcal A}\)-hypergeometric system associated with a monomial curve
• Hypergeometric functions and toric varieties
• Rank jumps in codimension 2 \(A\)-hypergeometric systems.
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