Blick ins Buch

Moduli of Weighted Hyperplane Arrangements

Valery Alexeev (Autor)

Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari (Herausgeber)

Buch | Softcover

VII, 104 Seiten

2015
Springer Basel (Verlag)
978-3-0348-0914-6 (ISBN)

Lese- und Medienproben

Blick ins Buch (midvox)

Artikel merken

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).

Preface.- Introduction.- Stable pairs and their moduli.- Stable toric varieties.- Matroids.- Matroid polytopes and tilings.- Weighted stable hyperplane arrangements.- Abelian Galois covers.- Bibliography.

Erscheint lt. Verlag	12.6.2015
Reihe/Serie	Advanced Courses in Mathematics - CRM Barcelona
Zusatzinfo	VII, 104 p. 50 illus., 16 illus. in color.
Verlagsort	Basel
Sprache	englisch
Maße	168 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	log canonical hyperplane arrangements • Matroids • moduli spaces • stable toric varieties • weighted stable hyperplane arrangements
ISBN-10	3-0348-0914-X / 303480914X
ISBN-13	978-3-0348-0914-6 / 9783034809146
Zustand	Neuware