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

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发表于2024-12-27

Hodge Theory and Complex Algebraic Geometry II 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:364

译者:Leila Schneps

出版时间:2008-2-4

价格:USD 48.99

装帧:Paperback

isbn号码:9780521718028

丛书系列:Cambridge Studies in Advanced Mathematics

图书标签: 数学复几何 Geometry 数学-AlgebraicGeometry 复分析7 分析几何代数几何

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

The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyperplane sections, the Picard-Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly Nori's connectivity theorem, which generalizes the above. The last part of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.

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

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