Exponents of 2-multiarrangements and multiplicity lattices

DOI10.1007/s10801-011-0291-7zbMath1235.52034arXiv0706.0009OpenAlexW3100281161MaRDI QIDQ658542

Takuro Abe, Yasuhide Numata

Publication date: 12 January 2012

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

Full work available at URL: https://arxiv.org/abs/0706.0009

zbMATH Keywords

hyperplane arrangementsexponents of derivation modulesmultiarrangementsmultiplicity lattices

Mathematics Subject Classification ID

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

Related Items (5)

Heavy hyperplanes in multiarrangements and their freeness ⋮ Chambers of 2-affine arrangements and freeness of 3-arrangements ⋮ Splitting types of bundles of logarithmic vector fields along plane curves ⋮ Freeness of hyperplane arrangements and related topics ⋮ Roots of characteristic polynomials and intersection points of line arrangements

Cites Work

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• 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
• Free and non-free multiplicity on the deleted \(A_{3}\) arrangement
• Multiderivations of Coxeter arrangements
• The primitive derivation and freeness of multi-Coxeter arrangements.
• The characteristic polynomial of a multiarrangement
• On the exponents of 2-multiarrangements
• The stability of the family of \(A_2\)-type arrangements
• Derivations of an effective divisor on the complex projective line
• The Stability of the Family ofB₂-Type Arrangements
• ON THE FREENESS OF 3-ARRANGEMENTS
• The Euler multiplicity and addition-deletion theorems for multiarrangements

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