Roots of characteristic polynomials and intersection points of line arrangements

DOI10.5427/jsing.2014.8hzbMath1354.32020arXiv1302.3822OpenAlexW2963578968MaRDI QIDQ5174919

Takuro Abe

Publication date: 19 February 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.3822

zbMATH Keywords

characteristic polynomialsline arrangementshyperplane arrangementsfree arrangementsexponents of arrangements

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Configurations and arrangements of linear subspaces (14N20)

Related Items (13)

Non-recursive freeness and non-rigidity ⋮ Divisionally free arrangements of hyperplanes ⋮ Roots of the characteristic polynomials of hyperplane arrangements and their restrictions and localizations ⋮ On the freeness of hypersurface arrangements consisting of hyperplanes and spheres ⋮ Plus-one Generated and Next to Free Arrangements of Hyperplanes ⋮ Splitting types of bundles of logarithmic vector fields along plane curves ⋮ Addition-deletion theorem for free hyperplane arrangements and combinatorics ⋮ Numerical invariants and moduli spaces for line arrangements ⋮ Deletion theorem and combinatorics of hyperplane arrangements ⋮ Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements ⋮ On complex supersolvable line arrangements ⋮ Freeness for 13 lines arrangements is combinatorial ⋮ On the Generation of Rank 3 Simple Matroids with an Application to Terao's Freeness Conjecture

Cites Work

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• ON THE FREENESS OF 3-ARRANGEMENTS
• Free but not recursively free arrangements

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