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Moduli of weighted hyperplane arrang...

Alexeev, Valery.

Moduli of weighted hyperplane arrangements

Record Type:	Electronic resources : Monograph/item
Title/Author:	Moduli of weighted hyperplane arrangementsby 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.
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:

285972
Moduli theory.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Moduli of weighted hyperplane arrangements
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245 1 0 $a Moduli of weighted hyperplane arrangements $h [electronic resource] / $c by Valery Alexeev ; edited by Gilberto Bini ... [et al.].
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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.
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