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本书介绍了Kodaira-Spencer复结构变形理论,给出了Kodaira嵌入定理的原始证明,还包括了Kuranishi的半连续性定理和局部完备性定理。本书适合对抽象复流形及相关知识感兴趣的研究生以及数学研究人员阅读参考。 The main purpose of this book is to give an introduction to the Kodaira-Spencer theory of deformations of complex structures. The original proof of the Kodaira embedding theorem is given showing that the restricted class of K?hler manifolds called Hodge manifolds is algebraic. Included are the semicontinuity theorems and the local completeness theorem of Kuranishi. The book is based on notes taken by James Morrow from lectures given by Kunihiko Kodaira at Stanford University in 1965–1966. Complete references are given for the results that are used from elliptic partial differential equations. |
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