REGULARIZABLE CYCLES ASSOCIATED WITH A SELBERG TYPE INTEGRAL UNDER SOME RESONANCE CONDITION
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Publication:5292226
DOI10.1142/S0129167X0700414XzbMath1126.32027arXivmath/0408272OpenAlexW1998571908MaRDI QIDQ5292226
Katsuhisa Mimachi, Masaaki Yoshida
Publication date: 20 June 2007
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0408272
regularizationgeneralized hypergeometric seriesSelberg type integralresonance conditiontwisted homology group
Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Global theory of complex singularities; cohomological properties (32S20) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40)
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Cites Work
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- Arrangements of hyperplanes and Lie algebra homology
- Intersection numbers of twisted cycles associated with the Selberg integral and an application to the conformal field theory
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- HYPERGEOMETRIC-TYPE INTEGRALS AND THE $\mathfrak{sl}(2, {\rm C})$ KNIZHNIK-ZAMOLODCHIKOV EQUATION
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- A generalization of Kita and Noumi’s vanishing theorems of cohomology groups of local system
- Intersection theory for loaded cycles IV— resonant cases
