Hodge Theory and Complex Algebraic Geometry I pdf epub mobi txt 电子书下载 2024

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Voisin, Claire

Cambridge Univ Pr

Schneps, Leila

2003-1

336

$ 188.71

HRD

9780521802604

图书标签: 代数几何复几何复代数几何 Hodge理论数学学术读物复分析7 Cambridge.Studies.Advanced.Math

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发表于2024-11-25

Hodge Theory and Complex Algebraic Geometry I epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Hodge Theory and Complex Algebraic Geometry I pdf epub mobi txt 电子书下载 2024

图书描述

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.

Hodge Theory and Complex Algebraic Geometry I 下载 mobi epub pdf txt 电子书