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Item Details
Title:
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ARRANGEMENTS OF HYPERPLANES
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By: |
Peter Orlik, Hiroaki Terao |
Format: |
Hardback |
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List price:
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£79.99 |
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further information.
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ISBN 10: |
3540552596 |
ISBN 13: |
9783540552598 |
Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
Pub. date: |
23 July, 1992 |
Edition: |
1992 ed. |
Series: |
Grundlehren der mathematischen Wissenschaften 300 |
Pages: |
325 |
Description: |
An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. This book is a study of the subject. It treats arrangements with methods from very diverse parts of mathematics. It is useful for advanced graduate students and working mathematicians. |
Synopsis: |
An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space. Arrangements have emerged independently asimportant objects in various fields of mathematics such ascombinatorics, braids, configuration spaces, representationtheory, reflection groups, singularity theory, and incomputer 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. Itemphasizes general techniques which illuminate theconnections among the different aspects of the subject. Itsmain purpose is to lay the foundations of the theory.Consequently, it is essentially self-contained and proofsare provided. Nevertheless, there are several new resultshere. In particular, many theorems that were previouslyknown only for central arrangements are proved here for thefirst time in completegenerality.The text provides the advanced graduate student entry into avital and active area of research. The working mathematicianwill findthe book useful as a source of basic results ofthe theory, open problems, and a comprehensive bibliographyof the subject. |
Illustrations: |
XVIII, 325 p. |
Publication: |
Germany |
Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
Returns: |
Returnable |
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