內容簡介
複流形和復結構的形變目錄
CHAPTER 1Holomorphic Functions
1.1. Holomorphic Functions
1.2. Hoiomorphic Map
CHAPTER 2Complex Manifolds
2.1. Complex Manifolds
2.2. Compact Complex Manifolds
2.3. Complex Analytic Family
CHAPTER 3Differential 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 4infinitesimalDeformation
4.1. Differentiable Family
4.2. Infinitesimal Deformation
CHAPTER 5Theorem of Existence
5.1. Obstructions
5.2. Number of Moduli
5.3. Theorem of Existence
CHAPTER 6Theorem of Completeness
6.1. Theorem of Completeness
6.2. Number of Moduli
6.3. Later Developments
CHAPTER 7Theorem of Stability
APPENDIX Elliptic Partial Differential Operators on a Manifold
Bibliography
Index
