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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 very diverse parts of mathematics. It is essentially self-contained and detailed proofs are provided. The text provides the advanced graduate student entry into a vital and active area of research. The working mathematician will find the book useful as a source of basic results of the theory, open problems, and a comprehensive bibliography of the subject.
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 very diverse parts of mathematics. It is essentially self-contained and detailed proofs are provided. The text provides the advanced graduate student entry into a vital and active area of research. The working mathematician will find the book useful as a source of basic results of the theory, open problems, and a comprehensive bibliography of the subject.
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