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Moduli of Weighted Hyperplane Arrangements

Moduli of Weighted Hyperplane Arrangements
Catalogue Information
Field name Details
Dewey Class 516.35
Title Moduli of Weighted Hyperplane Arrangements ([EBook]) / by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari.
Author Alexeev, Valery
Added Personal Name Bini, Gilberto editor.
Lahoz, Martí editor.
Macrí, Emanuele editor.
Stellari, Paolo editor.
Other name(s) SpringerLink (Online service)
Publication Basel : : Springer Basel : : Imprint: Birkhäuser, , 2015.
Physical Details VII, 104 p. 50 illus., 16 illus. in color. : online resource.
Series Advanced courses in mathematics, CRM Barcelona 2297-0304
ISBN 9783034809153
Summary Note 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.:
Contents note Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-0348-0915-3
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