Derivation radical subspace arrangements

DOI10.1016/j.jpaa.2010.09.007zbMath1214.52007OpenAlexW1997074570MaRDI QIDQ531355

Will Traves, Max D. Wakefield

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.09.007

zbMATH Keywords

subspace arrangementsderivation radicalfree hyperplane arrangement

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Derivations and commutative rings (13N15) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25)

Related Items (1)

The module of logarithmic derivations of a generic determinantal ideal

Uses Software

• Macaulay2

Cites Work

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• A formula for the characteristic polynomial of an arrangement
• Independence numbers of graphs and generators of ideals
• Hilbert series of subspace arrangements
• Stable sets and polynomials
• A sharp bound for the Castelnuovo-Mumford regularity of subspace arrangements.
• Derivations preserving a monomial ideal
• A Counterexample to Orlik's Conjecture
• SUBSPACE ARRANGEMENTS DEFINED BY PRODUCTS OF LINEAR FORMS
• The Module of Derivations of a Stanley-Reisner Ring
• Defining equations of subspace arrangements embedded in reflection arrangements
• The module of derivations for an arrangement of subspaces.

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