本书提供了复流形理论的完整自洽论述，将抽象原理、几何直观和实际应用完美结合。内容特点包括：
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基础理论：全纯函数、凯勒度量和上同调
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核心对象：黎曼曲面、代数曲线和射影簇
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前沿专题：霍奇理论、二次线丛和形变理论
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计算工具：具体算例和问题解决技巧
从解析基础到现代几何结果层层递进，特别强调与代数几何和数学物理的联系。亮点包含：
✓ 附100余道习题及精选解答
✓ 小平嵌入定理的详细证明
✓ 超弦理论和镜像对称的应用
✓ 关键理论的历史发展注释
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This authoritative text provides a self-contained treatment of complex manifold theory, seamlessly blending abstract principles with geometric intuition and practical applications. Designed for graduate students and researchers, the book systematically develops:
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Foundational Theory: Holomorphic functions, Kähler metrics, and cohomology
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Core Geometric Objects: Riemann surfaces, algebraic curves, and projective varieties
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Advanced Topics: Hodge theory, quadric line complexes, and deformation theory
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Computational Tools: Explicit examples and problem-solving techniques
The exposition progresses from analytic basics to cutting-edge geometric results, emphasising connections to algebraic geometry and mathematical physics. Special features include:
✓ Over 100 exercises with selected solutions
✓ Detailed treatment of Kodaira’s embedding theorem
✓ Applications to string theory and mirror symmetry
✓ Historical notes on key developments
