Multiple addition, deletion and restriction theorems for hyperplane arrangements

DOI10.1090/proc/14592zbMath1435.32035arXiv1801.01790OpenAlexW3105967047MaRDI QIDQ5234976

Takuro Abe, Hiroaki Terao

Publication date: 7 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01790

zbMATH Keywords

hyperplane arrangementsfree arrangementsCatalan arrangementsaddition-deletion and restriction theorems

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)

Related Items (7)

Roots of the characteristic polynomials of hyperplane arrangements and their restrictions and localizations ⋮ Plus-one Generated and Next to Free Arrangements of Hyperplanes ⋮ Addition-deletion theorem for free hyperplane arrangements and combinatorics ⋮ MAT-free graphic arrangements and a characterization of strongly chordal graphs by edge-labeling ⋮ Accurate arrangements ⋮ MAT-free reflection arrangements ⋮ Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements

Cites Work

• Divisionally free arrangements of hyperplanes
• The freeness of ideal subarrangements of Weyl arrangements
• Characterization of a free arrangement and conjecture of Edelman and Reiner
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements
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