A geometric condition for a hyperplane arrangement to be free

DOI10.1006/aima.1998.1722zbMath0905.05017OpenAlexW1981470062MaRDI QIDQ1267990

Joseph P. S. Kung

Publication date: 14 January 1999

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

Full work available at URL: https://doi.org/10.1006/aima.1998.1722

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (3)

Recent topics of arrangements of hyperplanes ⋮ Roots of characteristic polynomials and intersection points of line arrangements ⋮ Graphs whose flow polynomials have only integral roots

Cites Work

• Basic derivations for subarrangements of Coxeter arrangements
• Modular elements of higher-weight Dowling lattices
• Planar configurations which determine few slopes
• Dowling group geometries and the critical problem
• 2N noncollinear points determine at least 2N directions
• A classification of modularly complemented geometric lattices
• Möbius inversion in lattices
• A class of geometric lattices based on finite groups
• Matroid Representations and free Arrangements
• A Counterexample to Orlik's Conjecture
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