LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Hyperplane Arrangements ([EBook]) : An Introduction / / by Alexandru Dimca.
Author	Dimca, Alexandru
Other name(s)	SpringerLink (Online service)
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details	XII, 200 p. 18 illus., 17 illus. in color. : online resource.
Series	Universitext 0172-5939
ISBN	9783319562216
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-56221-6
Links to Related Works	Subject References: Algebraic Geometry . Algorithms . Combinatorics . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Functions of complex variables . Mathematics . Projective Geometry . Several Complex Variables and Analytic Spaces . Authors: Dimca, Alexandru . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 516.35 .

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Hyperplane Arrangements: An Introduction

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