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Hyperplane arrangementsan introduction /

Dimca, Alexandru.

Hyperplane arrangementsan introduction /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hyperplane arrangementsby Alexandru Dimca.
Reminder of title:	an introduction /
Author:	Dimca, Alexandru.
Published:	Cham :Springer International Publishing :2017.
Description:	xii, 200 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Cohomology operations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-56221-6
ISBN:	9783319562216$q(electronic bk.)

Hyperplane arrangementsan introduction /
Dimca, Alexandru.

Hyperplane arrangementsan introduction /[electronic resource] :by Alexandru Dimca. - Cham :Springer International Publishing :2017. - xii, 200 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

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.

ISBN: 9783319562216$q(electronic bk.)

Standard No.: 10.1007/978-3-319-56221-6doiSubjects--Topical Terms:

348598
Cohomology operations.

LC Class. No.: QA169

Dewey Class. No.: 514.23

Hyperplane arrangementsan introduction /
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100 1 $a Dimca, Alexandru. $3 776029
245 1 0 $a Hyperplane arrangements $h [electronic resource] : $b an introduction / $c by Alexandru Dimca.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xii, 200 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
505 0 $a 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.
520 $a 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.
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650 0 $a Combinatorial analysis. $3 182280
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650 2 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Algorithms. $3 184661
650 2 4 $a Projective Geometry. $3 676333
650 2 4 $a Combinatorics. $3 274788
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