Introduction to arrangements
著者
書誌事項
Introduction to arrangements
(Regional conference series in mathematics, no. 72)
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1989
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注記
"Expository lectures from the CBMS regional conference held at Northern Arizona University, Flagstaff, Arizona, June 6-20, 1988"--T.p. verso
Bibliography: p. 100-110
内容説明・目次
内容説明
An arrangement of hyperplanes is a finite collection of codimension one subspaces in a finite-dimensional vector space. Arrangements occur in several branches of mathematics: combinatorics, braids, hypergeometric functions, reflection groups, singularities, and coding theory.
This book, based on lectures presented by the author at the CBMS Regional Conference held at Northern Arizona University in June 1988, provides the first introduction to the study of the topology of the complement of an arrangement in a complex vector space. The author discusses basic combinatorial tools, as well as algebras associated to the arrangement, differential forms, the cohomology and the homotopy type of the complement, free arrangements, and reflection arrangements. With a particular emphasis on topological aspects, this book provides an excellent introduction to current activity in this area.
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