An arrangement of hyperplanes is a finite set of hyperplanes in a (finite-dimensional) linear, affine or projective space. Usually one studies in fact the complement of the union of the hyperplanes, and its topological and other properties. This space is the basis of many interesting fiber bundles appearing in conformal field theory, study of hypergeometric functions (Aomoto, Gelfand, Varchenko), quantum groups etc.
Stanley’s survey focuses instead more on combinatorics of the intersection poset of an arrangement (as well as arrangements in the case of vector space over a finite field):
Richard P. Stanley, An introduction to hyperplane arrangements, in: Geometric combinatorics, 389–496, IAS/Park City Math. Ser., 13, Amer. Math. Soc. 2007, pdf, errata
Richard Randell, Morse theory, Milnor fibers and minimality of hyperplane arrangements, math.AG/0011101
Daniel C. Cohen, Michael Falk, Richard Randell, Discriminantal bundles, arrangement groups, and subdirect products of free groups, arxiv/1008.0417
Last revised on October 12, 2011 at 00:07:18. See the history of this page for a list of all contributions to it.