21 citations · 26 across the 8 of their papers we have counts for
5 papers · 1 filter
Arrangements stable under the Coxeter groups
Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao
Let B be a real hyperplane arrangement which is stable under the action of a Coxeter group W. Then B acts naturally on the set of chambers of B. We assume that B is disjoint from t…
Application of arrangement theory to unfolding models
Hidehiko Kamiya, Akimichi Takemura, Norihide Tokushige
Arrangement theory plays an essential role in the study of the unfolding model used in many fields. This paper describes how arrangement theory can be usefully employed in solving…
Periodicity of non-central integral arrangements modulo positive integers
Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao
An integral coefficient matrix determines an integral arrangement of hyperplanes in R^m. After modulo q reduction, the same matrix determines an arrangement A_q of "hyperplanes" in…
The characteristic quasi-polynomials of the arrangements of root systems and mid-hyperplane arrangements
Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao
Let be a positive integer. In our recent paper, we proved that the cardinality of the complement of an integral arrangement, after the modulo reduction, is a quasi-polynomi…
Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao
We study central hyperplane arrangements with integral coefficients modulo positive integers . We prove that the cardinality of the complement of the hyperplanes is a quasi-poly…