Moduli of Weighted Hyperplane Arrangements
Published on 18. May 2015
VII, 104 pages
978-3-0348-0915-3 (ISBN)
Description
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).
More details
Series
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Primary & secondary/elementary & high school
Illustrations
VII, 104 p. 50 illus., 16 illus. in color.
File size
3,51 MB
ISBN-13
978-3-0348-0915-3 (9783034809153)
DOI
10.1007/978-3-0348-0915-3
Schweitzer Classification
Other editions
Additional editions
Valery Alexeev | Gilberto Bini | Martí Lahoz
Moduli of Weighted Hyperplane Arrangements
Book
06/2015
Birkhäuser
€26.74
Shipment within 7-9 days
Content
Preface.- Introduction.- Stable pairs and their moduli.- Stable toric varieties.- Matroids.- Matroid polytopes and tilings.- Weighted stable hyperplane arrangements.- Abelian Galois covers.- Bibliography.
