A primitive derivation and logarithmic differential forms of Coxeter arrangements

DOI10.1007/s00209-009-0489-8zbMath1187.52020arXiv0810.3107OpenAlexW2057919730MaRDI QIDQ2268154

Takuro Abe, Hiroaki Terao

Publication date: 10 March 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3107

zbMATH Keywords

Hodge filtrationCoxeter arrangement

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (4)

A basis construction of the extended Catalan and Shi arrangements of the type \(A_{2}\) ⋮ Equivariant multiplicities of Coxeter arrangements and invariant bases ⋮ Simple-root bases for Shi arrangements ⋮ Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements

Cites Work

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• Coxeter multiarrangements with quasi-constant multiplicities
• On a linear structure of the quotient variety by a finite reflexion group
• The double Coxeter arrangement
• Multiderivations of Coxeter arrangements
• The primitive derivation and freeness of multi-Coxeter arrangements.
• The Hodge filtration and the contact-order filtration of derivations of Coxeter arrangements
• A correction to ``Bases of the contact-order filtration of derivations of Coxeter arrangements
• Bases of the contact-order filtration of derivations of Coxeter arrangements
• Invariants of Finite Reflection Groups

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