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Moduli of Weighted Hyperplane Arrangements
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Catalogue Information
Field name
Details
Dewey Class
516.35
Title
Moduli of Weighted Hyperplane Arrangements ([EBook]) / by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari.
Author
Alexeev, Valery
Added Personal Name
Bini, Gilberto
editor.
Lahoz, Martí
editor.
Macrí, Emanuele
editor.
Stellari, Paolo
editor.
Other name(s)
SpringerLink (Online service)
Publication
Basel : : Springer Basel : : Imprint: Birkhäuser, , 2015.
Physical Details
VII, 104 p. 50 illus., 16 illus. in color. : online resource.
Series
Advanced courses in mathematics, CRM Barcelona
2297-0304
ISBN
9783034809153
Summary Note
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.:
Contents note
Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-0348-0915-3
Links to Related Works
Subject References:
Algebraic Geometry
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Convex and Discrete Geometry
.
Convex geometry
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Discrete geometry
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Mathematics
.
Authors:
Alexeev, Valery
.
Bini, Gilberto
.
Lahoz, Martí
.
Macrí, Emanuele
.
Stellari, Paolo
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Advanced courses in mathematics, CRM Barcelona
.
Classification:
516.35
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