Free but not recursively free arrangements

DOI10.1090/S0002-9939-2014-12263-5zbMath1348.13033arXiv1302.4055OpenAlexW1993670376MaRDI QIDQ5496228

Torsten Hoge, Michael Cuntz

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4055

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Derivations and commutative rings (13N15) Configurations and arrangements of linear subspaces (14N20)

Related Items

Addition-deletion theorems for factorizations of Orlik-Solomon algebras and nice arrangements ⋮ Non-recursive freeness and non-rigidity ⋮ Divisionally free arrangements of hyperplanes ⋮ Inductive and Recursive Freeness of Localizations of Multiarrangements ⋮ A greedy algorithm to compute arrangements of lines in the projective plane ⋮ On inductively free restrictions of reflection arrangements. ⋮ Recursively free reflection arrangements ⋮ Roots of characteristic polynomials and intersection points of line arrangements ⋮ MAT-free reflection arrangements ⋮ Combinatorial simpliciality of arrangements of hyperplanes

Uses Software

• Magma

Cites Work

• Minimal fields of definition for simplicial arrangements in the real projective plane
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• The Magma algebra system. I: The user language
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