A commutative algebra for oriented matroids

DOI10.1007/s00454-001-0053-8zbMath1016.52014OpenAlexW2083410646MaRDI QIDQ1596354

Raul Cordovil

Publication date: 21 May 2002

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

Full work available at URL: https://doi.org/10.1007/s00454-001-0053-8

zbMATH Keywords

oriented matroidhyperplane arrangementOrlik-Terao algebranbc basisno-broken circuit

Mathematics Subject Classification ID

Oriented matroids in discrete geometry (52C40)

Related Items (8)

On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials ⋮ Products of linear forms and Tutte polynomials ⋮ Equivariant cohomology and the Varchenko-Gelfand filtration ⋮ Eulerian representations for real reflection groups ⋮ Stability phenomena for resonance arrangements ⋮ Intersection cohomology of hypertoric varieties ⋮ The Varchenko-Gel'fand ring of a cone ⋮ Algebras generated by reciprocals of linear forms

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