𝐴-hypergeometric systems that come from geometry

DOI10.1090/S0002-9939-2011-11073-6zbMath1257.14016arXiv1007.4030OpenAlexW2592530723MaRDI QIDQ2884424

Alan Adolphson, Steven I. Sperber

Publication date: 29 May 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.4030

zbMATH Keywords

torusGauss-Manin connection\(\mathcal{D}\)-moduleA-hypergeomeric system

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Other hypergeometric functions and integrals in several variables (33C70) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) de Rham cohomology and algebraic geometry (14F40)

Related Items (4)

Macaulay matrix for Feynman integrals: linear relations and intersection numbers ⋮ Pfaffian systems of \(A\)-hypergeometric equations. I: Bases of twisted cohomology groups. ⋮ Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟-modules ⋮ Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules

Cites Work

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• Algebraic \(A\)-hypergeometric functions
• Higher solutions of hypergeometric systems and Dwork cohomology
• Hypergeometric functions and rings generated by monomials
• Algebraic solutions of differential equations (p-curvature and the Hodge filtration)
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Hypergeometric D-modules and twisted Gauß-Manin systems
• On twisted de Rham cohomology
• A conjecture in the arithmetic theory of differential equations

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