# Arrangements of Hyperplanes

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 300)

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 300)

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.

algebraic topology of manifolds geometric lattices reflection groups singularities singularity theory

- DOI https://doi.org/10.1007/978-3-662-02772-1
- Copyright Information Springer-Verlag Berlin Heidelberg 1992
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Springer Book Archive
- Print ISBN 978-3-642-08137-8
- Online ISBN 978-3-662-02772-1
- Series Print ISSN 0072-7830
- Buy this book on publisher's site