Periodicity of hyperplane arrangements with integral coefficients modulo positive integers

DOI10.1007/S10801-007-0091-2zbMath1213.52020arXivmath/0703904OpenAlexW2076868291MaRDI QIDQ925307

Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao

Publication date: 3 June 2008

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703904

zbMATH Keywords

characteristic polynomialelementary divisorhyperplane arrangementintersection latticeEhrhart quasi-polynomial

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (15)

Postnikov-Stanley Linial arrangement conjecture ⋮ Characteristic quasi-polynomials of ideals and signed graphs of classical root systems ⋮ Group actions on semimatroids ⋮ Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials ⋮ Eulerian polynomials for subarrangements of Weyl arrangements ⋮ Inductive and divisional posets ⋮ Vertex-weighted digraphs and freeness of arrangements between Shi and Ish ⋮ Comparison on the coefficients of characteristic quasi-polynomials of integral arrangements ⋮ Periodicity of non-central integral arrangements modulo positive integers ⋮ Products of arithmetic matroids and quasipolynomial invariants of CW-complexes ⋮ Characteristic polynomials of linial arrangements for exceptional root systems ⋮ Worpitzky partitions for root systems and characteristic quasi-polynomials ⋮ Ranking patterns of unfolding models of codimension one ⋮ Combinatorially equivalent hyperplane arrangements ⋮ An equivalent formulation of chromatic quasi-polynomials

Cites Work

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• Subspace arrangements over finite fields: Cohomological and enumerative aspects
• Characteristic and Ehrhart polynomials
• The minimum period of the Ehrhart quasi-polynomial of a rational polytope
• The Jacobians and the discriminants of finite reflection groups
• Extended linial hyperplane arrangements for root systems and a conjecture of Postnikov and Stanley
• Inside-out polytopes
• Arrangements and ranking patterns
• Characteristic polynomials of subspace arrangements and finite fields
• Computing the Continuous Discretely
• GENERALIZED CATALAN NUMBERS, WEYL GROUPS AND ARRANGEMENTS OF HYPERPLANES
• A Combinatorial Reciprocity Theorem for Hyperplane Arrangements
• The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements

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