Hyperplane arrangements and linear strands in resolutions

DOI10.1090/S0002-9947-02-03128-8zbMath1084.52520MaRDI QIDQ4779885

Irena Peeva

Publication date: 28 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (11)

Software for doing computations in graded Lie algebras ⋮ Homological properties of Orlik-Solomon algebras ⋮ Lower central series and free resolutions of hyperplane arrangements ⋮ Open problems on syzygies and Hilbert functions ⋮ G-quadratic, LG-quadratic, and Koszul quotients of exterior algebras ⋮ Nets in \(\mathbb{P}^2\) and Alexander duality ⋮ Universally Koszul and initially Koszul properties of Orlik–Solomon algebras ⋮ Annihilators of Orlik-Solomon relations ⋮ Combinatorial and algebraic structure in Orlik-Solomon algebras ⋮ Electrical networks and hyperplane arrangements ⋮ The Varchenko-Gel'fand ring of a cone

Cites Work

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• The lower central series of a fiber-type arrangement
• Broken circuit complexes: Factorizations and generalizations
• Free hyperplane arrangements between \(A_{n-1}\) and \(B_ n\)
• Gotzmann theorems for exterior algebras and combinatorics
• Matroid Representations and free Arrangements
• The Minimal Model of the Complement of an Arrangement of Hyperplanes
• Determination of a class of Poincaré series.
• Koszul Algebras from Graphs and Hyperplane Arrangements

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