1 option
Moduli of Weighted Hyperplane Arrangements / by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Alexeev, Valery., Author.
- Series:
- Advanced Courses in Mathematics - CRM Barcelona, 2297-0304
- Language:
- English
- Subjects (All):
- Geometry, Algebraic.
- Convex geometry.
- Discrete geometry.
- Algebraic Geometry.
- Convex and Discrete Geometry.
- Local Subjects:
- Algebraic Geometry.
- Convex and Discrete Geometry.
- Physical Description:
- 1 online resource (VII, 104 p. 50 illus., 16 illus. in color.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Basel : Springer Basel : Imprint: Birkhäuser, 2015.
- Language Note:
- English
- Summary:
- 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:
- Preface
- Introduction
- Stable pairs and their moduli
- Stable toric varieties
- Matroids
- Matroid polytopes and tilings
- Weighted stable hyperplane arrangements
- Abelian Galois covers
- Bibliography.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-0348-0915-8
- OCLC:
- 1066186974
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