《复几何导论(英文版)》内容简介：Complex geometry is a highly attractive branch of modern mathematics that has witnessed many years of active and successful research and that has recently obtained new impetus from physicists' interest in questions related to mirror symmetry. Due to its interactions with various other fields (differential, algebraic, and arithmetic geometry, but also string theory and conformal field theory), it has become an area with many facets. Also, there are a number of challenging open problems which contribute to the subject's attraction. The most famous among them is the Hodge conjecture, one of the seven one-million dollar millennium problems of the Clay Mathematics Institute. So, it seems likely t at this area will fascinate new generations for many years to come.
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复几何入门教材写的非常好。
评分复几何入门书，处理精练，恰到好处地省略某些结论的证明
评分补充G&H的好书
评分入门书，写得还挺漂亮的。
评分本书关键是两本书《紧复曲面》和《代数几何原理》线丛同构类和微分层的上同调 类同构 ；庞加莱引理 德拉姆复形层是局部常函数层的分解；关于层的定义的两个基本例子：常数预层和向量丛的截面层 ，层相比与预层多了拓扑，层同态判断是单射还是满射取决于茎的单射或满射.向量丛和嵌入问题相关。投影空间之于复几何就像球之于微分几何，射影空间和线丛都是为了将复流形描述成为多项式的工具
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