Title: Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)
Publisher: Cambridge University Press
Publication Date: 2008
Language: English
ISBN 10: 0521718015
ISBN 13: 9780521718011
Binding: Soft cover
Condition: good

About this title

Synopsis

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.

About the Author

Claire Voisin is a Professor at the Institut des Hautes �tudes Scientifiques, France

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