Universitext

Hyperplane Arrangements

An Introduction

Authors: Dimca, Alexandru

  • Provides a clear and rapid introduction to many hot topics in the field of hyperplane arrangements
  • Introduces basic definitions and key notions and takes the reader right up to open questions
  • Contains a wealth of exercises of varying levels of difficulty
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eBook 47,59 €
price for France (gross)
  • ISBN 978-3-319-56221-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 60,12 €
price for France (gross)
  • ISBN 978-3-319-56220-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.
Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study.

About the authors

Alexandru Dimca is a world-leading authority in Singularity Theory and Hyperplane Arrangements, with a strong track record of ground-breaking research. He is the author of four books and over 120 research papers, many of them devoted to the topics discussed in this book. He has an established reputation for his clear writing style, and his vast teaching experience helps him to convey the main ideas in an accessible and efficient way.

Reviews

“In the book under review, the author provides an interesting introduction to the theory of hyperplane arrangements. … It is worth pointing out that the text is accessible even for advanced undergraduate students (especially the first three chapters) and motivating since the book focuses on current research problems and provides some open problems. … this is a very nice introduction to the subject.” (Piotr Pokora, zbMATH 1362.14001, 2017)


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Table of contents (8 chapters)

  • Invitation to the Trip

    Dimca, Alexandru

    Pages 1-14

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  • Hyperplane Arrangements and Their Combinatorics

    Dimca, Alexandru

    Pages 15-43

    Preview Buy Chapter 29,94 €
  • Orlik–Solomon Algebras and de Rham Cohomology

    Dimca, Alexandru

    Pages 45-60

    Preview Buy Chapter 29,94 €
  • On the Topology of the Complement $$M({\mathscr {A}})$$

    Dimca, Alexandru

    Pages 61-84

    Preview Buy Chapter 29,94 €
  • Milnor Fibers and Local Systems

    Dimca, Alexandru

    Pages 85-98

    Preview Buy Chapter 29,94 €

Buy this book

eBook 47,59 €
price for France (gross)
  • ISBN 978-3-319-56221-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 60,12 €
price for France (gross)
  • ISBN 978-3-319-56220-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hyperplane Arrangements
Book Subtitle
An Introduction
Authors
Series Title
Universitext
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-56221-6
DOI
10.1007/978-3-319-56221-6
Softcover ISBN
978-3-319-56220-9
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XII, 200
Number of Illustrations and Tables
1 b/w illustrations, 17 illustrations in colour
Topics