Moduli of Weighted Hyperplane Arrangements by Valery AlexeevModuli of Weighted Hyperplane Arrangements by Valery Alexeev

Moduli of Weighted Hyperplane Arrangements

byValery AlexeevEditorGilberto Bini, Mart Lahoz

Paperback | June 12, 2015

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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 (shas).
Title:Moduli of Weighted Hyperplane ArrangementsFormat:PaperbackDimensions:104 pagesPublished:June 12, 2015Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:303480914X

ISBN - 13:9783034809146

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Table of Contents

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