The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.
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大多数内容早就熟知,第二本才是nontrivial一点,这个学期参加这个的reading group,最后几次出现一下,大概明白这本书不需要看。
评分大爱 (但是jb amazon订的印刷什么东西)
评分大多数内容早就熟知,第二本才是nontrivial一点,这个学期参加这个的reading group,最后几次出现一下,大概明白这本书不需要看。
评分大爱 (但是jb amazon订的印刷什么东西)
评分大爱 (但是jb amazon订的印刷什么东西)
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