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Homological aspects of hyperplane arrangements. (English) Zbl 1370.55001

El Zein, Fouad (ed.) et al., Arrangements, local systems and singularities. Lecture notes from the CIMPA summer school, Istanbul, Turkey, June 11–22, 2007. Basel: Birkhäuser (ISBN 978-3-0346-0208-2/hbk; 978-3-0346-0209-9/ebook). Progress in Mathematics 283, 39-58 (2010).
Summary: The purpose of this expository article is to survey some results and applications of free resolutions related to hyperplane arrangements. We include some computational examples and open problems.
For the entire collection see [Zbl 1276.14001].

MSC:

55N91 Equivariant homology and cohomology in algebraic topology
52C35 Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
17B55 Homological methods in Lie (super)algebras
16S37 Quadratic and Koszul algebras
20F14 Derived series, central series, and generalizations for groups
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