Local cohomology modules of \(A\)-hypergeometric system of Cohen-Macaulay type

DOI10.2748/TMJ/1156256404zbMath1102.13019OpenAlexW2148227795MaRDI QIDQ854475

Go Okuyama

Publication date: 4 December 2006

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: http://www.math.tohoku.ac.jp/tmj/tohokumathjen.html

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Ordinary and skew polynomial rings and semigroup rings (16S36) Other hypergeometric functions and integrals in several variables (33C70) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Local cohomology and commutative rings (13D45) Semigroup rings, multiplicative semigroups of rings (20M25) Cohen-Macaulay modules (13C14)

Related Items (3)

Hypergeometric D-modules and twisted Gauß-Manin systems ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Cohen-Macaulayness and computation of Newton graded toric rings

Cites Work

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• The invariant holonomic system on a semisimple Lie algebra
• Generalized Euler integrals and \(A\)-hypergeometric functions
• Higher solutions of hypergeometric systems and Dwork cohomology
• Hypergeometric functions and rings generated by monomials
• Gröbner deformations of hypergeometric differential equations
• Hypergeometric functions and toric varieties
• Introduction to Toric Varieties. (AM-131)

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