Euler and Laplace integral representations of GKZ hypergeometric functions. II

DOI10.3792/pjaa.96.015zbMath1485.33019arXiv1904.00565OpenAlexW4240649900MaRDI QIDQ2225637

Saiei-Jaeyeong Matsubara-Heo

Publication date: 8 February 2021

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00565

zbMATH Keywords

integral representationsquadratic relationsGKZ hypergeometric systemtwisted Gauß-Manin connectionstwisted intersection numbers

Mathematics Subject Classification ID

Sheaves of differential operators and their modules, (D)-modules (32C38) Other basic hypergeometric functions and integrals in several variables (33D70)

Related Items (3)

Homology and cohomology intersection numbers of GKZ systems ⋮ AN ALGORITHM OF COMPUTING COHOMOLOGY INTERSECTION NUMBER OF HYPERGEOMETRIC INTEGRALS ⋮ Macaulay matrix for Feynman integrals: linear relations and intersection numbers

Cites Work

• Introduction to Stokes structures
• Periods for flat algebraic connections
• Irregular hypergeometric \(\mathcal D\)-modules
• Euler and Laplace integral representations of GKZ hypergeometric functions. I
• Intersection theory for Euler integral representations of GKZ hypergeometric functions: Appell’s F₁ case
• Isolated Singularity, Witten's Laplacian, and Duality for Twisted de Rham Cohomology
• Quadratic Relations for Generalized Hypergeometric Functions PFP-1
• Intersection Theory for Twisted Cycles II ‐ Degenerate Arrangements
• Intersection theory for twisted cohomologies and twisted Riemann’s period relations I

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