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VOL. 62 | 2012 Hypersphere arrangement and imaginary cycles for hypergeometric integrals

Abstract

We construct imaginary cycles as Lefschetz cycles for hypergeometric integrals associated with a hypersphere arrangement and discuss the relation between the twisted rational de Rham cohomology. We also discuss it in degenerate cases where several hyperspheres contact with each other. We pose two geometric problems involved in it.

Information

Published: 1 January 2012
First available in Project Euclid: 24 November 2018

zbMATH: 1258.32008
MathSciNet: MR2933790

Digital Object Identifier: 10.2969/aspm/06210001

Subjects:
Primary: 32S22
Secondary: 14F40, 33C70, 52C35

Rights: Copyright © 2012 Mathematical Society of Japan

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