Arrangements of Hyperplanes

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An arrangement of hyperplanes is a finite collection of codimension one

affine subspaces in a finite dimensional vector space. Arrangements have

emerged independently as important objects in various fields of mathematics such as combinatorics, braids, configuration spaces,

representation theory, reflection groups, singularity theory, and

in computer science and physics. This book is the first comprehensive
study of the subject. It treats arrangements with methods from

combinatorics, algebra, algebraic geometry, topology, and group actions.

It emphasizes general techniques which illuminate the connections among the different aspects of the subject. Its main purpose is to lay the

foundations of the theory. Consequently, it is essentially self-contained
and proofs are provided. Nevertheless, there are several new

results here. In particular, many theorems that were previously known
only for central arrangements are proved here for the first time in completegenerality. The text provides the advanced graduate student entry into

a vital and active area of research. The working mathematician will findthe book useful as a source of basic results of the theory, open problems, and a comprehensive bibliography of the subject.