Complex manifolds and deformation of complex structures = 复流形和复结构的形变 /
副标题：无
作 者：Kunihiko Kodaira ; [translated by Kazuo Akao].
分类号：
ISBN：9787506291811
微信扫一扫,移动浏览光盘
简介
本书是一部介绍复流形及其形变的经典入门书籍，不仅详细讲述了复流形上的形变理论，也介绍一些复几何的基础，比如复变流形上的微分几何以及椭圆偏微分方程的应用。
1857年黎曼对阿贝尔函数发布的著名回忆录中提出了黎曼面复结构的形变，并且计算了形变依赖的有效参数数目。自此以后，有关黎曼面复结构形变的问题就一直是人们关注的焦点。代数面的形变似乎可以追溯到1888年Max Noether的研究。然而，高维复流形的形变却被人们忽略了近100年。1957年，正值黎曼回忆录100年，Frólicher 和Nijenhuis运用微分几何的方法研究了高维复流形并且获得了很重要的结果。本文的作者在给出了一个紧复流形形变的理论。该理论基于椭圆偏微分算子，附录中给出了详细说明。
目录
CHAPTER 1 Holomorphic Functions
1.1. Holomorphic Functions
1.2. Hoiomorphic Map
CHAPTER 2 Complex Manifolds
2.1. Complex Manifolds
2.2. Compact Complex Manifolds
2.3. Complex Analytic Family
CHAPTER 3 Differential Forms, Vector Bundles, Sheaves
3.1. Differential Forms
3.2. Vector Bundles
3.3. Sheaves and Cohomology
3.4. de Rham's Theorem and Dolbeault's Theorem
3.5. Harmonic Differential Forms
3.6. Complex Line Bundles
CHAPTER 4 Infinitesimal Deformation
4.1. Differentiable Family
4.2. Infinitesimal Deformation
CHAPTER 5 Theorem of Existence
5.1. Obstructions
5.2. Number of Moduli
5.3. Theorem of Existence
CHAPTER 6 Theorem of Completeness
6.1. Theorem of Completeness
6.2. Number of Moduli
6.3. Later Developments
CHAPTER 7 Theorem of Stability
APPENDIX Elliptic Partial Differential Operators on a Manifold
Bibliography
Index
1.1. Holomorphic Functions
1.2. Hoiomorphic Map
CHAPTER 2 Complex Manifolds
2.1. Complex Manifolds
2.2. Compact Complex Manifolds
2.3. Complex Analytic Family
CHAPTER 3 Differential Forms, Vector Bundles, Sheaves
3.1. Differential Forms
3.2. Vector Bundles
3.3. Sheaves and Cohomology
3.4. de Rham's Theorem and Dolbeault's Theorem
3.5. Harmonic Differential Forms
3.6. Complex Line Bundles
CHAPTER 4 Infinitesimal Deformation
4.1. Differentiable Family
4.2. Infinitesimal Deformation
CHAPTER 5 Theorem of Existence
5.1. Obstructions
5.2. Number of Moduli
5.3. Theorem of Existence
CHAPTER 6 Theorem of Completeness
6.1. Theorem of Completeness
6.2. Number of Moduli
6.3. Later Developments
CHAPTER 7 Theorem of Stability
APPENDIX Elliptic Partial Differential Operators on a Manifold
Bibliography
Index
Complex manifolds and deformation of complex structures = 复流形和复结构的形变 /
- 名称
- 类型
- 大小
光盘服务联系方式: 020-38250260 客服QQ：4006604884
云图客服：
用户发送的提问，这种方式就需要有位在线客服来回答用户的问题，这种 就属于对话式的,问题是这种提问是否需要用户登录才能提问
Video Player
×
Audio Player
×
pdf Player
×
