Hodge Theory and Complex Algebraic Geometry I: Volume 1

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.

Author: Claire Voisin
Publisher: Cambridge University Press
Published: 01/13/2003
Pages: 336
Binding Type: Hardcover
Weight: 1.22lbs
Size: 9.24h x 6.34w x 0.86d
ISBN: 9780521802604

About the Author
Voisin, Claire: - Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France

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