Chambers of 2-affine arrangements and freeness of 3-arrangements

DOI10.1007/s10801-012-0393-xzbMath1284.52022OpenAlexW2094420722MaRDI QIDQ356727

Takuro Abe

Publication date: 26 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10801-012-0393-x

zbMATH Keywords

characteristic polynomialhyperplane arrangementsfree arrangementschambers of arrangementsexponents of multiarrangements

Mathematics Subject Classification ID

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

Related Items (8)

Divisionally free arrangements of hyperplanes ⋮ On the freeness of hypersurface arrangements consisting of hyperplanes and spheres ⋮ Splitting types of bundles of logarithmic vector fields along plane curves ⋮ A homological characterization for freeness of multi-arrangements ⋮ Freeness of hyperplane arrangements and related topics ⋮ Roots of characteristic polynomials and intersection points of line arrangements ⋮ On complex supersolvable line arrangements ⋮ Freeness for 13 lines arrangements is combinatorial

Cites Work

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• Exponents of 2-multiarrangements and multiplicity lattices
• Characteristic polynomials, \(\eta \)-complexes and freeness of tame arrangements
• The characteristic polynomial of a multiarrangement
• Free arrangements and coefficients of characteristic polynomials
• On the exponents of 2-multiarrangements
• Derivations of an effective divisor on the complex projective line
• The Stability of the Family ofB₂-Type Arrangements
• Facing up to arrangements: face-count formulas for partitions of space by hyperplanes
• ON THE FREENESS OF 3-ARRANGEMENTS

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