Addition-deletion theorems for the Solomon-Terao polynomials and \(B\)-sequences of hyperplane arrangements

DOI10.1007/s00209-023-03426-zarXiv2305.10283OpenAlexW4390733968MaRDI QIDQ6201400

Takuro Abe

Publication date: 20 February 2024

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

Full work available at URL: https://arxiv.org/abs/2305.10283

Mathematics Subject Classification ID

Discrete geometry (52Cxx) Complex singularities (32Sxx) (Co)homology theory in algebraic geometry (14Fxx)

Cites Work

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• Divisionally free arrangements of hyperplanes
• A formula for the characteristic polynomial of an arrangement
• Hessenberg varieties and hyperplane arrangements
• Combinatorics and topology of complements of hyperplanes
• Combinatorial construction of logarithmic differential forms
• Solomon-Terao algebra of hyperplane arrangements
• Logarithmic vector fields for curve configurations in \(\mathbb{P}^2\) with quasihomogeneous singularities
• Derivation modules of orthogonal duals of hyperplane arrangements
• Addition-deletion theorem for free hyperplane arrangements and combinatorics
• Double Points of Free Projective Line Arrangements
• Plus-one Generated and Next to Free Arrangements of Hyperplanes
• The module of logarithmic \(p\)-forms of a locally free arrangement

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