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Hyperplane arrangements = an introdu...

Dimca, Alexandru.

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Hyperplane arrangements = an introduction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Hyperplane arrangements/ by Alexandru Dimca.
其他題名:	an introduction /
作者:	Dimca, Alexandru.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xii, 200 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Cohomology operations. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-56221-6
ISBN:	9783319562216

Hyperplane arrangements = an 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

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

778995
Cohomology operations.

LC Class. No.: QA169

Dewey Class. No.: 514.23

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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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