The freeness of Shi-Catalan arrangements

DOI10.1016/j.ejc.2011.06.005zbMath1235.52035arXiv1012.5884OpenAlexW2005977605MaRDI QIDQ648976

Hiroaki Terao, Takuro Abe

Publication date: 29 November 2011

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5884

zbMATH Keywords

hyperplane arrangementsfree arrangementsShi-Catalan arrangements

Mathematics Subject Classification ID

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

Related Items (6)

Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ Free hyperplane arrangements over arbitrary fields ⋮ Equivariant multiplicities of Coxeter arrangements and invariant bases ⋮ Simple-root bases for Shi arrangements ⋮ A positive formula for the Ehrhart-like polynomials from root system chip-firing ⋮ Root system chip-firing. I: Interval-firing

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivariant multiplicities of Coxeter arrangements and invariant bases
• Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements
• Bases for the derivation modules of two-dimensional multi-Coxeter arrangements and universal derivations
• Characterization of a free arrangement and conjecture of Edelman and Reiner
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• On a linear structure of the quotient variety by a finite reflexion group
• On free deformations of the braid arrangement
• Deformations of Coxeter hyperplane arrangements
• Free arrangements and rhombic tilings
• The Stability of the Family ofB₂-Type Arrangements
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• Hyperplane arrangements, interval orders, and trees.

This page was built for publication: The freeness of Shi-Catalan arrangements