Hypergeometric integrals and arrangements

DOI10.1016/S0377-0427(99)00036-9zbMath0976.33012MaRDI QIDQ1301987

Peter Orlik

Publication date: 27 December 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

hypergeometric integralsarrangement of hyperplaneslocal system

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (1)

Characteristic variety of the Gauss-Manin differential equations of a generic parallelly translated arrangement

Cites Work

• The determinant of a hypergeometric periodic matrix
• Arrangements of hyperplanes and Lie algebra homology
• Cohomology of local systems on the complement of hyperplanes
• Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors
• Equations différentielles à points singuliers réguliers
• Theory of Hypergeometric Functions
• THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. I
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Cohomology of the brieskorn-orlik-solomon algebras
• 𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements
• Arrangements and hypergeometric integrals
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