HUSCAP logo Hokkaido Univ. logo

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >

Periodicity of hyperplane arrangements with integral coefficients modulo positive integers

Files in This Item:
pre839.pdf211.16 kBPDFView/Open
Please use this identifier to cite or link to this item:http://doi.org/10.14943/83989

Title: Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
Authors: Kamiya, Hidehiko Browse this author
Takemura, Akimichi Browse this author
Terao, Hiroaki Browse this author
Keywords: characteristic polynomial
Ehrhart quasi-polynomial
elementary divisor
hyperplane arrangement
intersection lattice
Issue Date: 30-Mar-2007
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 839
Start Page: 1
End Page: 14
Abstract: We study central hyperplane arrangements with integral coefficients modulo positive integers q. We prove that the cardinality of the complement of the hyperplanes is a quasi-polynomial in two ways, first via the theory of elementary divisors and then via the theory of the Ehrhart quasi-polynomials. This result is useful for determining the characteristic polynomial of the corresponding real arrangement. With the former approach, we also prove that intersection lattices modulo q are periodic except for a finite number of q’s.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69648
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

Export metadata:

OAI-PMH ( junii2 , jpcoar )


 

Feedback - Hokkaido University