《復幾何導論(英文版)》內容簡介：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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用戶評價
本書關鍵是兩本書《緊復麯麵》和《代數幾何原理》綫叢同構類和微分層的上同調 類同構 ；龐加萊引理 德拉姆復形層是局部常函數層的分解；關於層的定義的兩個基本例子：常數預層和嚮量叢的截麵層 ，層相比與預層多瞭拓撲，層同態判斷是單射還是滿射取決於莖的單射或滿射.嚮量叢和嵌入問題相關。投影空間之於復幾何就像球之於微分幾何，射影空間和綫叢都是為瞭將復流形描述成為多項式的工具
评分復幾何入門書，處理精練，恰到好處地省略某些結論的證明
评分本書關鍵是兩本書《緊復麯麵》和《代數幾何原理》綫叢同構類和微分層的上同調 類同構 ；龐加萊引理 德拉姆復形層是局部常函數層的分解；關於層的定義的兩個基本例子：常數預層和嚮量叢的截麵層 ，層相比與預層多瞭拓撲，層同態判斷是單射還是滿射取決於莖的單射或滿射.嚮量叢和嵌入問題相關。投影空間之於復幾何就像球之於微分幾何，射影空間和綫叢都是為瞭將復流形描述成為多項式的工具
评分入門書，寫得還挺漂亮的。
评分入門書，寫得還挺漂亮的。
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