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Hyperplane Arrangements: An Introduction

Hyperplane Arrangements: An Introduction

Paperback

Series: Universitext

AlgebraGeneral MathematicsGeometry

ISBN10: 3319562207
ISBN13: 9783319562209
Publisher: Springer Nature
Published: Apr 7 2017
Pages: 200
Weight: 0.67
Height: 0.45 Width: 6.14 Depth: 9.21
Language: English
This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.
The topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject.

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Geometry