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＜E-Book＞
Arrangements of Hyperplanes / by Peter Orlik, Hiroaki Terao
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 300)

Edition	1st ed. 1992.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1992
Language	English
Size	XVIII, 325 p : online resource
Authors	*Orlik, Peter author Terao, Hiroaki author SpringerLink (Online service)
Subjects	LCSH:Algebraic topology LCSH:Algebraic geometry LCSH:Manifolds (Mathematics) LCSH:Functions of complex variables FREE:Algebraic Topology FREE:Algebraic Geometry FREE:Manifolds and Cell Complexes FREE:Several Complex Variables and Analytic Spaces
Notes	1. Introduction -- 2. Combinatorics -- 3. Algebras -- 4. Free Arrangements -- 5. Topology -- 6. Reflection Arrangements -- A. Some Commutative Algebra -- B. Basic Derivations -- C. Orbit Types -- D. Three-Dimensional Restrictions -- References -- Index of Symbols 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 HTTP:URL=https://doi.org/10.1007/978-3-662-02772-1

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