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书名 单值化黎曼-希尔伯特对应卡拉比-丘流形和皮卡-富克斯方程(英文版)(精)
分类 科学技术-自然科学-数学
作者 季理真//丘成桐
出版社 高等教育出版社
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简介
内容推荐
黎曼曲面单值化定理是数学中最美丽且最重要的定理之一。它不仅给出了黎曼曲面的一个清晰的分类,而且也激发了许多新的方法。例如,它的证明激发了黎曼-希尔伯特对应和皮卡-富克斯方程,并且单值化的高维推广包含了卡拉比-丘流形。
季理真、丘成桐主编的《单值化黎曼-希尔伯特对应卡拉比-丘流形和皮卡-富克斯方程(英文版)(精)》包括来自世界各地的专家就书名中的四个主题精心撰写的综述性文章,全面讨论了这四个主题以及它们之间的关系。本书对于初学者是一本非常有价值的入门书,也可作为其他数学家的参考书。
目录
Hypergeometric Functions, from Riemann till Present
Frits Beukers
Picard-Fuchs Uniformization of Modular Subvarieties
Brent Doran, Charles F. Do'ran, and An,drew Hatrder
Poincare's Path to Uniformization
Connemara Doran
Exploring Modular Forms and the Cohomology of Local Systems
on Moduli Spaces by Counting Points
Gerard 'uan der Geer
Moduli Spaces of Compact Riemann Surfaces: Their Complex
Structures and an Overview of Major Results
Lizhen Ji
The Morrison-Kawamata Cone Conjecture and Abundance on
Ricci Flat Manifolds
Vladimir Lazic, Kezji Oguiso, and Thomas Petefrnell
Conformal Geometry and the Painleve VI Equation
Chang-Shoun
Calabi-Yau Metrics: Mirror Symmetry, Hitchin Systems and
Instanton Corrections
Wenxuan Lu
Quasiconformal Mappings, from Ptolemy's Geography to the
Work of Teichmuller
Athanase Papadopoulos
Riemann-Hilbert Correspondence, Irregular Singularities and
Hodge Theory
Claude Sabbah
Krichever-Novikov Type Algebras and Wess-Zumino-Novikov-
Witten Models
Martin, Schlichenmaier
Moduli of Canonically Polarized Manifolds, Higher Order
Kodaira-Spencer Maps, and an Analogy to Calabi-Yau
Manifolds
Georg Schumacher
Calabi-Yau Operators
Duco van, Straten
A Survey on Toric Mirror Symmetry
Hsian-llua Tseng
Dynamical Systems on Analytic Manifolds of Quadratic
Differentials: Chapter I F-Structures
William A. Veech
Aspects on Calabi-Yau Moduli
Chin,-Lu'n,g Wang
Degeneration of Ricci-flat Calabi-Yau Manifolds and Its
Applications
Yuguang Zhang
Mirror Symmetry for Plane Cubics Revisited
Jie Zhou
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