Moduli of Weighted Hyperplane Arrangements

• Main Author: Alexeev, Valery (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Bini, Gilberto (Editor), Lahoz, Martí (Editor), Macrí, Emanuele (Editor), Stellari, Paolo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2015.
• Series: Advanced Courses in Mathematics - CRM Barcelona,
• Subjects: Mathematics.; Algebraic geometry.; Convex geometry.; Discrete geometry.; Algebraic Geometry.; Convex and Discrete Geometry.

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 p...

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.