Alexandru Dimca: Hyperplane Arrangements

Cover: 9783319562209 | Hyperplane Arrangements | An Introduction | Alexandru Dimca | Buch

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

Invitation to the Trip.- Hyperplane Arrangements and their Combinatorics.- Orlik-Solomon Algebras and de Rham Cohomology.- On the Topology of the Complement M(A).- Milnor Fibers and Local Systems.- Characteristic Varieties and Resonance Varieties.- Logarithmic Connections and Mixed Hodge Structures.- Free Arrangements and de Rham Cohomology of Milnor Fibers.

Details

Erscheinungsjahr:	2017
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	xii 200 S. 1 s/w Illustr. 17 farbige Illustr. 200 p. 18 illus. 17 illus. in color.
ISBN-13:	9783319562209
ISBN-10:	3319562207
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Dimca, Alexandru
Auflage:	1st ed. 2017
Hersteller:	Springer International Publishing Springer International Publishing AG Universitext
Maße:	235 x 155 x 12 mm
Von/Mit:	Alexandru Dimca
Erscheinungsdatum:	07.04.2017
Gewicht:	0,33 kg

Artikel-ID: 108833857