Free arrangements and relation spaces

DOI10.1007/BF02574365zbMath0802.52010MaRDI QIDQ1330882

Hiroaki Terao, Keith A. Brandt

Publication date: 10 August 1994

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131317

zbMATH Keywords

polynomial algebrafree arrangements\(S\)-modulesformal arrangements

Mathematics Subject Classification ID

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

Related Items (9)

Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ Free multiplicities on the moduli of \(X_{3}\) ⋮ Matroids of combinatorially formal arrangements are not determined by their points and lines ⋮ Discriminantal arrangements, fiber polytopes and formality ⋮ A homological characterization for freeness of multi-arrangements ⋮ Relation spaces of hyperplane arrangements and modules defined by graphs of fiber zonotopes ⋮ Line-closed matroids, quadratic algebras, and formal arrangments ⋮ Derivation modules of orthogonal duals of hyperplane arrangements ⋮ On the Orlik-Terao ideal and the relation space of a hyperplane arrangement

Cites Work

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• A formula for the characteristic polynomial of an arrangement
• A Family of Regular Maps of Type {6, 6}
• Cohomology of Local Sheaves on Arrangement Lattices
• The First Two Obstructions to the Freeness of Arrangements

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