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Moduli of weighted hyperplane arrangements [electronic resource]

  • 作者: Alexeev, Valery.
  • 其他作者:
  • 其他題名:
    • Advanced courses in mathematics, CRM Barcelona
  • 出版: Basel : Springer Basel :Imprint: Birkhauser
  • 叢書名: Advanced courses in mathematics, CRM Barcelona
  • 主題: Moduli theory , Mathematics , Algebraic Geometry. , Convex and Discrete Geometry.
  • ISBN: 9783034809153 (electronic bk.) 、 9783034809146 (paper)
  • FIND@SFXID: CGU
  • 資料類型: 電子書
  • 內容註: Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography.
  • 摘要註: 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.
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  • 系統號: 005133960 | 機讀編目格式
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