复流形（影印版）
定价：￥99.00
作者： James Morrow，Kunihiko Kodaira
出版社：高等教育出版社
- 高等教育出版社
- 9787040630961
- 1版
- 47266242-8
- 特殊
- 330
- 理学
- 数学类
- 数学类
- 本科 研究生及以上
目录
目录
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; Deformations
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; Kähler Structures
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
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; Deformations
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; Kähler Structures
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
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; Deformations
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; Kähler Structures
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
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; Deformations
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; Kähler Structures
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
