On characteristic polynomials of subspace arrangements

DOI10.1006/jcta.1999.3035zbMath0965.52017OpenAlexW1966420821MaRDI QIDQ1570764

Beifang Chen

Publication date: 30 July 2001

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1999.3035

zbMATH Keywords

Möbius functionBoolean algebracharacteristic polynomialvaluationsubspace arrangement

Mathematics Subject Classification ID

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

Related Items (8)

Orientations, lattice polytopes, and group arrangements. II: Modular and integral flow polynomials of graphs ⋮ On a generalization of Zaslavsky's theorem for hyperplane arrangements ⋮ Comparison on the coefficients of characteristic quasi-polynomials of integral arrangements ⋮ Orientations, lattice polytopes, and group arrangements I: Chromatic and tension polynomials of graphs ⋮ Orientations, lattice polytopes, and group arrangements. III: Cartesian product arrangements and applications to Tutte type polynomials ⋮ Parallel translates of represented matroids ⋮ Affine and toric hyperplane arrangements ⋮ The Dowling transform of subspace arrangements

Cites Work

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• On the extension of additive functionals on classes of convex sets
• Subspace arrangements over finite fields: Cohomological and enumerative aspects
• Characteristic and Ehrhart polynomials
• On valuations, the characteristic polynomial, and complex subspace arrangements
• The Jacobians and the discriminants of finite reflection groups
• On the Euler characteristic of finite unions of convex sets
• Characteristic polynomials of subspace arrangements and finite fields
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes

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