The determinant of a hypergeometric periodic matrix
From MaRDI portal
Publication:678256
DOI10.1007/s002220050146zbMath0866.33015OpenAlexW2020532531MaRDI QIDQ678256
Publication date: 22 June 1997
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002220050146
Other hypergeometric functions and integrals in several variables (33C70) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)
Related Items
Recent topics of arrangements of hyperplanes ⋮ Single-valued integration and superstring amplitudes in genus zero ⋮ 𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements ⋮ Determinants of the hypergeometric period matrices of an arrangement and its dual ⋮ Determinants of period matrices and an application to Selberg's multidimensional beta integral ⋮ Stokes matrices of hypergeometric integrals ⋮ Très bonnes bases du réseau de Brieskorn d'un polynôme modéré ⋮ Determinant formula for solutions of the quantum Knizhnik-Zamolodchikov equation associated with \(U_q (sl_n)\) at \(|q|=1\) ⋮ Hypergeometric integrals and arrangements
Cites Work
- Matroid shellability, \(\beta\)-systems, and affine hyperplane arrangements
- Homology of a local system on the complement of hyperplanes
- Finite difference equations and determinants of integrals of multiform functions
- Arrangements of hyperplanes and Lie algebra homology
- On hypergeometric functions in several variables. II: The Wronskian of the hypergeometric functions of type \((n+1,m+1)\)
- The determinant formula for a matroid bilinear form
- Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors
- THE EULER BETA-FUNCTION, THE VANDERMONDE DETERMINANT, LEGENDRE'S EQUATION, AND CRITICAL VALUES OF LINEAR FUNCTIONS ON A CONFIGURATION OF HYPERPLANES. I
- Arrangements d'hyperplans et sommes de Gauss
- 𝛽𝐧𝐛𝐜-bases for cohomology of local systems on hyperplane complements
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item