A-hypergeometric systems and relative cohomology

DOI10.1142/S0129167X2050113XzbMath1460.14049arXiv1902.01536OpenAlexW3090552153MaRDI QIDQ5146670

Dingxin Zhang, Tsung-Ju Lee

Publication date: 26 January 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01536

zbMATH Keywords

toric variety\(\mathcal{D}\)-module\(A\)-hypergeometric system

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Other hypergeometric functions and integrals in several variables (33C70) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Variation of Hodge structures (algebro-geometric aspects) (14D07)

Related Items (1)

A note on periods of Calabi-Yau fractional complete intersections

Cites Work

• Unnamed Item
• Period integrals and the Riemann-Hilbert correspondence
• Hypergeometric functions and rings generated by monomials
• Dwork cohomology and algebraic \(\mathcal D\)-modules
• Chain integral solutions to tautological systems
• GKZ hypergeometric series for the Hesse pencil, chain integrals and orbifold singularities
• Hypergeometric functions and toric varieties
• Hypergeometric D-modules and twisted Gauß-Manin systems
• Laurent polynomials, GKZ-hypergeometric systems and mixed Hodge modules
• The Monomial-Divisor Mirror Map
• Maximal degeneracy points of GKZ systems
• Dwork cohomology, de Rham cohomology, and hypergeometric functions

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