Higher solutions of hypergeometric systems and Dwork cohomology

zbMath0931.14012MaRDI QIDQ1296437

Alan Adolphson

Publication date: 8 March 2000

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1999__101__179_0

zbMATH Keywords

hypergeometric functionsmonomials\(D\)-modulesDwork cohomologyhypergeometric differential module

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) de Rham cohomology and algebraic geometry (14F40)

Related Items

𝐴-hypergeometric systems that come from geometry ⋮ Local cohomology modules of \(A\)-hypergeometric system of Cohen-Macaulay type ⋮ Homological methods for hypergeometric families ⋮ Binomial \(D\)-modules ⋮ Algebraic aspects of hypergeometric differential equations ⋮ Cohen-Macaulayness and computation of Newton graded toric rings

Cites Work

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• Exponential sums and Newton polyhedra: cohomology and estimates
• Polyedres de Newton et nombres de Milnor
• Hypergeometric functions and rings generated by monomials
• The analytic continuation of generalized functions with respect to a parameter
• On the zeta function of a hypersurface. I
• Hypergeometric functions and toric varieties
• Finiteness of De Rham Cohomology

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