On matroids and Orlik-Solomon algebras

DOI10.1007/s00026-004-0205-7zbMath1067.05018OpenAlexW2044317152MaRDI QIDQ1889891

Yukihito Kawahara

Publication date: 13 December 2004

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-004-0205-7

zbMATH Keywords

hyperplanearrangementchain complexesflatgeometric semilatticepointed matroidquasi-matroid

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (5)

Finitary affine oriented matroids ⋮ Group actions on semimatroids ⋮ On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials ⋮ The non-vanishing cohomology of Orlik-Solomon algebras ⋮ Stanley-Reisner rings for symmetric simplicial complexes, \(G\)-semimatroids and abelian arrangements

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