Hyperplane Arrangements

An Introduction

Nonfiction, Science & Nature, Mathematics, Geometry, Algebra
Cover of the book Hyperplane Arrangements by Alexandru Dimca, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Alexandru Dimca ISBN: 9783319562216
Publisher: Springer International Publishing Publication: March 28, 2017
Imprint: Springer Language: English
Author: Alexandru Dimca
ISBN: 9783319562216
Publisher: Springer International Publishing
Publication: March 28, 2017
Imprint: Springer
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.

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book The Quest for Aqua Vitae by Alexandru Dimca
Cover of the book Coherent Vortex Structures in Fluids and Plasmas by Alexandru Dimca
Cover of the book Boys and Men in African American Families by Alexandru Dimca
Cover of the book Management of Complications in Refractive Surgery by Alexandru Dimca
Cover of the book An Accidental Brexit by Alexandru Dimca
Cover of the book Wind Energy and Wildlife Interactions by Alexandru Dimca
Cover of the book Healthy Hair by Alexandru Dimca
Cover of the book Proceedings of the International Conference on Advanced Intelligent Systems and Informatics 2016 by Alexandru Dimca
Cover of the book Free-Electron Lasers in the Ultraviolet and X-Ray Regime by Alexandru Dimca
Cover of the book Phylogenomics by Alexandru Dimca
Cover of the book Mathematician for All Seasons by Alexandru Dimca
Cover of the book Passive and Active Measurement by Alexandru Dimca
Cover of the book Unconventional Warfare from Antiquity to the Present Day by Alexandru Dimca
Cover of the book International Symposium on Gravity, Geoid and Height Systems 2016 by Alexandru Dimca
Cover of the book Meaning, Narrativity, and the Real by Alexandru Dimca
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy