Free arrangements of hyperplanes over an arbitrary field

DOI10.3792/pjaa.59.301zbMath0634.05019OpenAlexW1981717448MaRDI QIDQ1096637

Hiroaki Terao

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.301

zbMATH Keywords

hyperplanesfree arrangementarbitrary fieldgeneralized factorization theorem

Mathematics Subject Classification ID

Other designs, configurations (05B30)

Related Items

Matroid Representations and free Arrangements ⋮ The characteristic polynomial of a multiarrangement ⋮ Inductive and Recursive Freeness of Localizations of Multiarrangements ⋮ Free and Locally Free Arrangements with a Given Intersection Lattice ⋮ Free hyperplane arrangements over arbitrary fields ⋮ Free arrangements over finite field ⋮ Vertex-weighted graphs and freeness of $ \psi $-graphical arrangements ⋮ Cohomology of Local Sheaves on Arrangement Lattices ⋮ Basic derivations for subarrangements of Coxeter arrangements ⋮ A formula for the characteristic polynomial of an arrangement ⋮ Combinatorial construction of logarithmic differential forms ⋮ Why the characteristic polynomial factors ⋮ The First Two Obstructions to the Freeness of Arrangements ⋮ The Jacobians and the discriminants of finite reflection groups ⋮ A free resolution of the module of derivations for generic arrangements ⋮ Freeness for multiarrangements of hyperplanes over arbitrary fields

Cites Work

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• Combinatorics and topology of complements of hyperplanes
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• Unitary reflection groups and cohomology