Periodicity of non-central integral arrangements modulo positive integers

DOI10.1007/S00026-011-0105-6zbMath1233.32018arXiv0803.2755OpenAlexW2158602257MaRDI QIDQ659643

Hidehiko Kamiya, Hiroaki Terao, Akimichi Takemura

Publication date: 24 January 2012

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

Full work available at URL: https://arxiv.org/abs/0803.2755

zbMATH Keywords

elementary divisorhyperplane arrangementcharacteristic quasi-polynomialintersection poset

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (7)

Postnikov-Stanley Linial arrangement conjecture ⋮ Group actions on semimatroids ⋮ Eulerian polynomials for subarrangements of Weyl arrangements ⋮ Comparison on the coefficients of characteristic quasi-polynomials of integral arrangements ⋮ 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

Cites Work

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• Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
• Extended linial hyperplane arrangements for root systems and a conjecture of Postnikov and Stanley
• Arrangements and ranking patterns
• The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements

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