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Hodge Theory and Complex Algebraic Geometry I: Volume 1 - Paperback

Hodge Theory and Complex Algebraic Geometry I: Volume 1 - Paperback

Hodge Theory and Complex Algebraic Geometry I: Volume 1 - Paperback

FormatBook
Language English
ISBN-13 / SKU 9780521718011

About this item

by Claire Voisin (Author), Leila Schneps (Translator)

This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.

Number of Pages: 334
Dimensions: 0.69 x 8.94 x 6.02 IN
Publication Date: December 20, 2007
$125.58
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