复流形（影印版）

样章

作者：

James Morrow, Kunihiko Kodaira

定价：

99.00元

ISBN：

978-7-04-063096-1

版面字数：

330.00千字

开本：

16开

全书页数：

暂无

装帧形式：

精装

重点项目：

暂无

出版时间：

2025-02-13

物料号：

63096-00

读者对象：

学术著作

一级分类：

自然科学

二级分类：

数学与统计

三级分类：

几何学

暂无

前辅文
Chapter I. Definitions and Examples of Complex Manifolds
- 1. Holomorphic Functions
- 2. Complex Manifolds and Pseudogroup Structures
- 3. Some Examples of Construction (or Description) of Compact Complex Manifolds
- 4. Analytic Families
Chapter 2. Sheaves and Cohomology
- 1. Germs of Functions
- 2. Cohomology Groups
- 3. Infinitesimal Deformations
- 4. Exact Sequences
- 5. Vector Bundles
- 6. A Theorem of Dolbeault (A fine resolution of Ø)
Chapter 3. Geometry of Complex Manifolds
- 1. Hermitian Metrics
- 2. Norms and Dual Forms
- 3. Norms for Holomorphic Vector Bundles
- 4. Applications of Results on Elliptic Operators
- 5. Covariant Differentiation on Kähler Manifolds
- 6. Curvatures on Kähler Manifolds
- 7. Vanishing Theorems
- 8. Hodge Manifolds
Chapter 4. Applications of Eliptic Partial Differential Equations to Deformations
- 1. Infinitesimal Deformations
- 2. An Existence Theorem for Deformations I. (No Obstructions)
- 3. An Existence Theorem for Deformations II. (Kuranishi's Theorem)
- 4. Stability Theorem
Bibliography
Index
Errata