``What is a complex matroid?

DOI10.1007/BF02573983zbMath0782.52005OpenAlexW2006067108MaRDI QIDQ688014

Günter M. Ziegler

Publication date: 28 February 1994

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

Full work available at URL: https://eudml.org/doc/131278

zbMATH Keywords

dualitycomplex structureoriented matroidshyperplane arrangements

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35) Combinatorial geometries and geometric closure systems (51D20)

Related Items

An equivariant discrete model for complexified arrangement complements, Cell complexes, poset topology and the representation theory of algebras arising in algebraic combinatorics and discrete geometry, Phirotopes, super \(p\)-branes and qubit theory, Foundations for a theory of complex matroids, Oriented matroids and Ky Fan's theorem, Oriented matroids, complex manifolds, and a combinatorial model for \(BU\)., The axiomatization of affine oriented matroids reassessed

Uses Software

• GeM

Cites Work

• Combinatorial models for the finite-dimensional Grassmannians
• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
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• Combinatorics and topology of complements of hyperplanes
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• Oriented matroids
• Homotopy types of subspace arrangements via diagrams of spaces
• On the difference between real and complex arrangements
• Grassmann-Plücker relations and matroids with coefficients
• Extension spaces of oriented matroids
• Combinatorial Stratification of Complex Arrangements
• A combinatorial formula for the Pontrjagin classes
• Cellular Strings on Polytopes
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