Hypersphere arrangement and imaginary cycles for hypergeometric integrals
Kazuhiko Aomoto · Advanced studies in pure mathematics · 2019
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.