On the algebra associated with a geometric lattice

DOI10.1016/0001-8708(90)90024-HzbMath0733.05026OpenAlexW2034268030MaRDI QIDQ810032

Michael J. Falk

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90024-h

zbMATH Keywords

geometric latticegraded commutative algebraintersection lattice

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Semimodular lattices, geometric lattices (06C10)

Related Items (18)

The global invariant of signed graphic hyperplane arrangements ⋮ On the Falk invariant of signed graphic arrangements ⋮ Unnamed Item ⋮ The diffeomorphic types of the complements of arrangements in \(\mathbb C\mathbb P^{3}\). II. ⋮ Falk invariants of signed graphic arrangements ⋮ A note on the fundamental group of the Salvetti complex determined by an oriented matroid ⋮ Line-closed matroids, quadratic algebras, and formal arrangments ⋮ Homotopy types of line arrangements ⋮ Combinatorial and algebraic structure in Orlik-Solomon algebras ⋮ Diffeomorphic types of complements of nice point arrangements in \(\mathbb{C}\mathbb{P}^l\) ⋮ Translated tori in the characteristic varieties of complex hyperplane arrangements ⋮ Unnamed Item ⋮ On the Falk invariant of Shi and linial arrangements ⋮ Orlik-Solomon algebras and Tutte polynomials ⋮ Arrangements and cohomology ⋮ Topological invariance of intersection lattices of arrangements in 𝐂𝐏² ⋮ On the difference between real and complex arrangements ⋮ On the Falk invariant of hyperplane arrangements attached to gain graphs

Cites Work

• The lower central series of a fiber-type arrangement
• Modular elements of lattices and topological fibration
• Combinatorics and topology of complements of hyperplanes
• Unnamed Item

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