• Peter Orlik
  • Volkmar Welker
Part of the Universitext book series (UTX)


Let V be a vector space of dimension ℓ ≥ 1 over the field K. An arrangement A = {H1, …, Hn} is a set of n ≥ 0 hyperplanes in V . In dimension 1, we consider n points in the real line ℝ or in the complex line ℂ. We shall see later that these seemingly innocent examples lead to interesting problems. In dimension 2, the Selberg arrangement of five lines is shown below. We shall use this arrangement to illustrate definitions and results in Section 1.11.


Modulus Space Hilbert Series Combinatorial Type Cohomology Ring Exterior Algebra 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Peter Orlik
    • 1
  • Volkmar Welker
    • 2
  1. 1.Department of MathematicsUniversity of Wisconsin-MadisonMadison, WisconsinUSA
  2. 2.Fachbereich Mathematik und InformatikPhilipps-Universität MarburgMarburgGermany

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