| 期刊全称 | Arrangements of Hyperplanes | | 影响因子2023 | Peter Orlik,Hiroaki Terao | | 视频video | http://file.papertrans.cn/162/161755/161755.mp4 | | 学科分类 | Grundlehren der mathematischen Wissenschaften | | 图书封面 |  | | 影响因子 | 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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