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Moduli of Weighted Hyperplane Arrangements

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Moduli of Weighted Hyperplane Arrangements/ by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari.
Author:	Alexeev, Valery.
other author:	Bini, Gilberto.
Description:	VII, 104 p. 50 illus., 16 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Algebraic geometry. -
Online resource:	https://doi.org/10.1007/978-3-0348-0915-3
ISBN:	9783034809153

Moduli of Weighted Hyperplane Arrangements
Alexeev, Valery.

Moduli of Weighted Hyperplane Arrangements[electronic resource] /by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari. - 1st ed. 2015. - VII, 104 p. 50 illus., 16 illus. in color.online resource. - 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

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

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

Moduli of Weighted Hyperplane Arrangements
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