東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Hyperplane arrangements = an introdu...

Dimca, Alexandru.

FindBook

Google Book

Amazon

博客來

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

Hyperplane arrangements = an introduction /
LDR:02436nmm a2200325 a 4500 001 2092996
003 DE-He213
005 20170329172029.0
006 m d
007 cr nn 008maaau
008 171117s2017 gw s 0 eng d
020 $a 9783319562216 $q (electronic bk.)
020 $a 9783319562209 $q (paper)
024 7 $a 10.1007/978-3-319-56221-6 $2 doi
035 $a 978-3-319-56221-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA169
072 7 $a PBMW $2 bicssc
072 7 $a MAT012010 $2 bisacsh
082 0 4 $a 514.23 $2 23
090 $a QA169 $b .D582 2017
100 1 $a Dimca, Alexandru. $3 711331
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.
650 0 $a Cohomology operations. $3 778995
650 0 $a Combinatorial analysis. $3 523878
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Commutative Rings and Algebras. $3 891076
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
650 2 4 $a Algorithms. $3 536374
650 2 4 $a Projective Geometry. $3 2056109
650 2 4 $a Combinatorics. $3 895617
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Universitext. $3 812115
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-56221-6
950 $a Mathematics and Statistics (Springer-11649)