Periodicity of hyperplane arrangements with integral coefficients modulo positive integers

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dc.creatorKamiya, Hidehiko
dc.creatorTakemura, Akimichi
dc.creatorTerao, Hiroaki
dc.date2007-03-30
dc.date2007-04-02
dc.date.accessioned2026-07-07T09:32:46Z
dc.date.available2026-07-07T09:32:46Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0703904
dc.identifierhttp://arxiv.org/abs/math/0703904
dc.identifierJ. Alg. Combin. 27 (2008), 317-330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158901
dc.subjectCombinatorics
dc.subject32S22, 52C35
dc.titlePeriodicity of hyperplane arrangements with integral coefficients modulo positive integers
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