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Titlebook: Arrangements of Hyperplanes; Peter Orlik,Hiroaki Terao Book 1992 Springer-Verlag Berlin Heidelberg 1992 algebraic topology of manifolds.ge

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期刊全稱Arrangements of Hyperplanes
影響因子2023Peter Orlik,Hiroaki Terao
視頻videohttp://file.papertrans.cn/162/161755/161755.mp4
學(xué)科分類Grundlehren der mathematischen Wissenschaften
圖書封面Titlebook: Arrangements of Hyperplanes;  Peter Orlik,Hiroaki Terao Book 1992 Springer-Verlag Berlin Heidelberg 1992 algebraic topology of manifolds.ge
影響因子An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space. Arrangements haveemerged 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 fromcombinatorics,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 thefoundations of the theory.Consequently, it is essentially self-contained and proofsare provided. Nevertheless, there are several newresultshere. 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 intoavital 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 subj
Pindex Book 1992
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Charles J. Cazeau,Stuart D. Scott Jr.ent of a complex arrangement, .(.). Call the complex arrangements . = (., .) and . = (.) ., or . if .(.) and .(.) are diffeomorphic, homeomorphic, or homotopy equivalent. It is natural to ask how these topological equivalence classes relate to the combinatorial equivalence classes defined earlier. F
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Introduction:History and Scope of This Book, where .., .. are G-modules and the restrictions .., .. of . to .., .. are either the identity or unitary reflection groups. Let .. = (.(..),..), .. = (.(..), ..). Then .(.) = .. × ... It follows from Theorem 4.28 and Theorem 6.59 that it suffices to find bases for . and .. Thus we may assume that .
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Intelligent Multimodal Systems,In this appendix we collect some definitions and facts in commutative algebra. These facts concern free modules, Krull dimension of rings and dimension of modules, graded rings and modules, associated primes, and regular sequences.
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