Annihilators of Orlik-Solomon relations

DOI10.1006/aama.2001.0779zbMath1004.05019arXivmath/0010168OpenAlexW2067558086MaRDI QIDQ696858

Sergey Yuzvinsky, Graham Denham

Publication date: 12 September 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010168

zbMATH Keywords

Orlik-Solomon algebramatroid

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (6)

Homological properties of Orlik-Solomon algebras ⋮ On the homotopy Lie algebra of an arrangement ⋮ Modular decomposition of the Orlik-Terao algebra ⋮ Universally Koszul and initially Koszul properties of Orlik–Solomon algebras ⋮ Supersolvability and the Koszul property of root ideal arrangements ⋮ Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence

Uses Software

• Macaulay2

Cites Work

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• Arrangements of hyperplanes and Lie algebra homology
• The determinant formula for a matroid bilinear form
• Taylor and minimal resolutions of homogeneous polynomial ideals
• On rational \(K[\pi,1\) spaces and Koszul algebras]
• Orlik-Solomon algebras in algebra and topology
• Hyperplane arrangement cohomology and monomials in the exterior algebra
• Linear syzygies of Stanley-Reisner ideals
• Resolutions of monomial ideals and cohomology over exterior algebras
• Hyperplane arrangements and linear strands in resolutions
• Arrangements and hypergeometric integrals
• Combinatorial and algebraic structure in Orlik-Solomon algebras

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