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
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