The Hodge filtration and the contact-order filtration of derivations of Coxeter arrangements

DOI10.1007/s00229-004-0536-zzbMath1082.32020arXivmath/0205058OpenAlexW1967689917MaRDI QIDQ2571053

Hiroaki Terao

Publication date: 2 November 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0205058

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (8)

Recent topics of arrangements of hyperplanes ⋮ Freeness of multi-reflection arrangements via primitive vector fields ⋮ Freeness of hyperplane arrangements and related topics ⋮ Bases of the contact-order filtration of derivations of Coxeter arrangements ⋮ A primitive derivation and logarithmic differential forms of Coxeter arrangements ⋮ The primitive derivation and discrete integrals ⋮ Coxeter multiarrangements with quasi-constant multiplicities ⋮ The primitive derivation and freeness of multi-Coxeter arrangements.

Cites Work

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• Characterization of a free arrangement and conjecture of Edelman and Reiner
• 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.
• Free arrangements and rhombic tilings

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