Hyperplane Arrangements

Alexandru dimca (author)

200 pages

Ajouter à une liste

Indisponible

Résumé

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.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.

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.

1st Edition 2017th editionIllustrationsQA564Geometry, Algebraic.1SwitzerlandChamAlexandru Dimca.Universitext

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Alexandru dimca (author)
Nb. de pages	200
Format	155 x 235
Poids	332g
EAN13	9783319562209

Avantages Eyrolles.com

Livraison à partir de 0,01 € en France métropolitaine

Paiement en ligne SÉCURISÉ

Livraison dans le monde

Retour sous 15 jours

+ d'un million et demi de livres disponibles

Hyperplane Arrangements

Résumé

Caractéristiques techniques

Consultez aussi