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Moduli of weighted hyperplane arrang...

Alexeev, Valery.

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Moduli of weighted hyperplane arrangements

Record Type:	Electronic resources : Monograph/item
Title/Author:	Moduli of weighted hyperplane arrangements/ by Valery Alexeev ; edited by Gilberto Bini ... [et al.].
Author:	Alexeev, Valery.
other author:	Bini, Gilberto.
Published:	Basel :Springer Basel : : 2015.,
Description:	vii, 104 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography.
Contained By:	Springer eBooks
Subject:	Moduli theory. -
Online resource:	http://dx.doi.org/10.1007/978-3-0348-0915-3
ISBN:	9783034809153 (electronic bk.)

Moduli of weighted hyperplane arrangements
Alexeev, Valery.

Moduli of weighted hyperplane arrangements[electronic resource] /by Valery Alexeev ; edited by Gilberto Bini ... [et al.]. - Basel :Springer Basel :2015. - vii, 104 p. :ill. (some col.), digital ;24 cm. - Advanced courses in mathematics, CRM Barcelona,2297-0304. - Advanced courses in mathematics, CRM Barcelona..

Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography.

This book focuses on a large class of geometric objects in moduli theory and provides explicit computations to investigate their families. Concrete examples are developed that take advantage of the intricate interplay between Algebraic Geometry and Combinatorics. Compactifications of moduli spaces play a crucial role in Number Theory, String Theory, and Quantum Field Theory - to mention just a few. In particular, the notion of compactification of moduli spaces has been crucial for solving various open problems and long-standing conjectures. Further, the book reports on compactification techniques for moduli spaces in a large class where computations are possible, namely that of weighted stable hyperplane arrangements.

ISBN: 9783034809153 (electronic bk.)

Standard No.: 10.1007/978-3-0348-0915-3doiSubjects--Topical Terms:

560909
Moduli theory.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Moduli of weighted hyperplane arrangements
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020 $a 9783034809153 (electronic bk.)
020 $a 9783034809146 (paper)
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100 1 $a Alexeev, Valery. $3 2153469
245 1 0 $a Moduli of weighted hyperplane arrangements $h [electronic resource] / $c by Valery Alexeev ; edited by Gilberto Bini ... [et al.].
260 $a Basel : $b Springer Basel : $b Imprint: Birkhauser, $c 2015.
300 $a vii, 104 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Advanced courses in mathematics, CRM Barcelona, $x 2297-0304
505 0 $a Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography.
520 $a This book focuses on a large class of geometric objects in moduli theory and provides explicit computations to investigate their families. Concrete examples are developed that take advantage of the intricate interplay between Algebraic Geometry and Combinatorics. Compactifications of moduli spaces play a crucial role in Number Theory, String Theory, and Quantum Field Theory - to mention just a few. In particular, the notion of compactification of moduli spaces has been crucial for solving various open problems and long-standing conjectures. Further, the book reports on compactification techniques for moduli spaces in a large class where computations are possible, namely that of weighted stable hyperplane arrangements.
650 0 $a Moduli theory. $3 560909
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Convex and Discrete Geometry. $3 893686
700 1 $a Bini, Gilberto. $3 2109648
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Advanced courses in mathematics, CRM Barcelona. $3 2070343
856 4 0 $u http://dx.doi.org/10.1007/978-3-0348-0915-3
950 $a Mathematics and Statistics (Springer-11649)