Coxeter arrangements are hereditarily free

DOI10.2748/tmj/1178225890zbMath0798.51011OpenAlexW2028338183MaRDI QIDQ1313226

Hiroaki Terao, Peter Orlik

Publication date: 31 October 1994

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225890

zbMATH Keywords

Coxeter groupsCoxeter arrangements

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Global theory of complex singularities; cohomological properties (32S20) Lattices of subspaces and geometric closure systems (51D25)

Related Items (14)

The algebra of glued polynomials on an arrangement of hyperplanes ⋮ Invariants of reflection groups, arrangements, and normality of decomposition classes in Lie algebras ⋮ Arrangements and Milnor fibers ⋮ Reflection arrangements are hereditarily free ⋮ Freeness for restriction arrangements of the extended Shi and Catalan arrangements ⋮ Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes ⋮ Coxeter and crystallographic arrangements are inductively free ⋮ Counting chambers in restricted Coxeter arrangements ⋮ Accurate arrangements ⋮ Restrictions of aspherical arrangements ⋮ On \(A_1^2\) restrictions of Weyl arrangements ⋮ Arrangements of ideal type are inductively free ⋮ The adjoint representation of a reductive group and hyperplane arrangements ⋮ Good grading polytopes

Cites Work

• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES
• Wave front evolution and equivariant Morse lemma
• A Counterexample to Orlik's Conjecture
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