Lower central series and free resolutions of hyperplane arrangements

DOI10.1090/S0002-9947-02-03021-0zbMath1057.52015arXivmath/0109070MaRDI QIDQ4537394

Henry K. Schenck, Alexander I. Suciu

Publication date: 30 June 2002

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

Full work available at URL: https://arxiv.org/abs/math/0109070

zbMATH Keywords

spectral sequencesfree resolutionsKoszul algebrashyperplane arrangementslower central seriesgraphic arrangementschange of ringslinear strands

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Syzygies, resolutions, complexes in associative algebras (16E05) Quadratic and Koszul algebras (16S37)

Related Items

The global invariant of signed graphic hyperplane arrangements, Homotopy Lie algebras; lower central series and the Koszul property, Homological properties of Orlik-Solomon algebras, Cyclically presented groups, lower central series and line arrangements, On the Falk invariant of signed graphic arrangements, G-quadratic, LG-quadratic, and Koszul quotients of exterior algebras, Nets in \(\mathbb{P}^2\) and Alexander duality, Broken circuit complexes and hyperplane arrangements, Homology, lower central series, and hyperplane arrangements, Universally Koszul and initially Koszul properties of Orlik–Solomon algebras, Falk invariants of signed graphic arrangements, Supersolvability and the Koszul property of root ideal arrangements, Resonance, linear syzygies, Chen groups, and the Bernstein-Gelfand-Gelfand correspondence, On the Falk invariant of Shi and linial arrangements, Efficient computation of resonance varieties via Grassmannians, Koszulness and supersolvability for Dirichlet arrangements, Electrical networks and hyperplane arrangements, On the Falk invariant of hyperplane arrangements attached to gain graphs

Uses Software

• Macaulay2

Cites Work

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