Ranking patterns of unfolding models of codimension one

DOI10.1016/j.aam.2010.11.002zbMath1218.52022arXiv1003.0040OpenAlexW1991964142MaRDI QIDQ550269

Hiroaki Terao, Hidehiko Kamiya, Akimichi Takemura

Publication date: 8 July 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0040

zbMATH Keywords

characteristic polynomialhyperplane arrangementchamberideal pointfinite field methodbraid arrangementall-subset arrangementmid-hyperplane arrangementranking patternunfolding model

Mathematics Subject Classification ID

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

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Cites Work

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• Periodicity of non-central integral arrangements modulo positive integers
• Ordering events in Minkowski space
• Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
• Stirling numbers and a geometric structure from voting theory
• On rankings generated by pairwise linear discriminant analysis of \(m\) populations
• Perpendicular dissections of space
• Characterization of rankings generated by linear discriminant analysis
• Arrangements and ranking patterns
• Characteristic polynomials of subspace arrangements and finite fields
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• The Characteristic Quasi-Polynomials of the Arrangements of Root Systems and Mid-Hyperplane Arrangements
• A combinatorial problem