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

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发表于2024-12-28

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

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出版者:Cambridge University Press

作者:Claire Voisin

出品人:

页数:334

译者:Leila Schneps

出版时间:2008-2-4

价格:USD 51.00

装帧:Paperback

isbn号码:9780521718011

丛书系列:Cambridge Studies in Advanced Mathematics

图书标签: 数学复几何 Algebraic_Geometry Hodge_Theory 复代数几何 Geometry 复分析7 分析

Hodge Theory and Complex Algebraic Geometry I 2024 pdf epub mobi 电子书图书描述

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 2024 pdf epub mobi 电子书

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