Moduli of Weighted Hyperplane Arrangements

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).

List 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.

Product details

• Authors: Valery Alexeev
• Assisted by: Gilberto Bini (Editor), Mart Lahoz (Editor), Martí Lahoz (Editor), Emanuele Macrí (Editor), Emanuele Macrí et al (Editor), Paolo Stellari (Editor)
• Publisher: Springer, Basel
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2015
• EAN: 9783034809146
• ISBN: 978-3-0-3480914-6
• No. of pages: 104
• Dimensions: 166 mm x 240 mm x 5 mm
• Illustrations: VII, 104 p. 50 illus., 16 illus. in color.
• Series: Advanced Courses in Mathematics - CRM Barcelona; Birkhäuser; Advanced Courses in Mathematics CRM Barcelona; Advanced Courses in Mathematics - CRM Barcelona
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; B, Diskrete Mathematik, Mathematics and Statistics, Algebraic Geometry, Discrete Mathematics, Discrete geometry, Convex and Discrete Geometry, Convex geometry