Free arrangements and coefficients of characteristic polynomials

DOI10.1007/s00209-013-1165-6zbMath1286.32015arXiv1109.0668OpenAlexW1997834013MaRDI QIDQ2435114

Masahiko Yoshinaga, Takuro Abe

Publication date: 3 February 2014

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

Full work available at URL: https://arxiv.org/abs/1109.0668

zbMATH Keywords

characteristic polynomialsarrangements of hyperplanesfree arrangementsmultirestrictions

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22)

Related Items (21)

Divisionally free arrangements of hyperplanes ⋮ Heavy hyperplanes in multiarrangements and their freeness ⋮ On the freeness of hypersurface arrangements consisting of hyperplanes and spheres ⋮ Plus-one Generated and Next to Free Arrangements of Hyperplanes ⋮ Inductive and Recursive Freeness of Localizations of Multiarrangements ⋮ Inductive freeness of Ziegler's canonical multiderivations for reflection arrangements ⋮ Chambers of 2-affine arrangements and freeness of 3-arrangements ⋮ Recent topics of arrangements of hyperplanes ⋮ Free hyperplane arrangements over arbitrary fields ⋮ Vertex-weighted digraphs and freeness of arrangements between Shi and Ish ⋮ A homological characterization for freeness of multi-arrangements ⋮ Characteristic polynomials, \(\eta \)-complexes and freeness of tame arrangements ⋮ Simple-root bases for Shi arrangements ⋮ Locally heavy hyperplanes in multiarrangements ⋮ Deletion theorem and combinatorics of hyperplane arrangements ⋮ Roots of characteristic polynomials and intersection points of line arrangements ⋮ Free filtrations of affine Weyl arrangements and the ideal-Shi arrangements ⋮ A pattern avoidance criterion for free inversion arrangements ⋮ New characterizations of freeness for hyperplane arrangements ⋮ Free and non-free multiplicities on the \(A_3\) arrangement ⋮ Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture

Cites Work

• Characterization of a free arrangement and conjecture of Edelman and Reiner
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• Characteristic polynomials, \(\eta \)-complexes and freeness of tame arrangements
• The characteristic polynomial of a multiarrangement
• Freeness and multirestriction of hyperplane arrangements
• The First Two Obstructions to the Freeness of Arrangements
• ON THE FREENESS OF 3-ARRANGEMENTS
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