Chambers of arrangements of hyperplanes and Arrow's impossibility theorem

DOI10.1016/j.aim.2007.02.006zbMath1121.52035arXivmath/0608591OpenAlexW2012638903MaRDI QIDQ2642055

Hiroaki Terao

Publication date: 20 August 2007

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

Full work available at URL: https://arxiv.org/abs/math/0608591

zbMATH Keywords

arrangement of hyperplaneschambersArrow's impossibility theorembraid arrangements

Mathematics Subject Classification ID

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

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Cites Work

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• Local systems over complements of hyperplanes and the Kac-Kazhdan conditions for singular vectors
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes

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