TY  - BOOK
AU  - Alexeev,Valery
AU  - Bini,Gilberto
AU  - Lahoz,Martí
AU  - Macrí,Emanuele
AU  - Stellari,Paolo
ED  - SpringerLink (Online service)
TI  - Moduli of Weighted Hyperplane Arrangements
T2  - Advanced Courses in Mathematics - CRM Barcelona,
SN  - 9783034809153
AV  - QA564-609 
U1  - 516.35 23
PY  - 2015///
CY  - Basel
PB  - Springer Basel, Imprint: Birkhäuser
KW  - mathematics
KW  - Algebraic Geometry
KW  - Convex geometry
KW  - Discrete geometry
KW  - Mathematics
KW  - Convex and Discrete Geometry
N1  - Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-0348-0915-3
ER  -