Some problems of hypergeometric integrals associated with hypersphere arrangement

DOI10.3792/pjaa.91.77zbMath1325.14036OpenAlexW1655229693MaRDI QIDQ498689

Kazuhiko Aomoto, Yoshinori Machida

Publication date: 29 September 2015

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

Full work available at URL: https://doi.org/10.3792/pjaa.91.77

zbMATH Keywords

contiguity relationGauss-Manin connectionhypergeometric integralCayley-Menger determinanthypersphere arrangementtwisted rational de Rham cohomology

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Relationships between algebraic curves and integrable systems (14H70) de Rham cohomology and algebraic geometry (14F40)

Related Items (4)

Generalization of Schläfli formula to the volume of a spherically faced simplex ⋮ Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants ⋮ Duals of Feynman integrals. I: Differential equations ⋮ Duals of Feynman integrals. II: Generalized unitarity

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