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Description - Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin

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.

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Book Details

ISBN: 9780521802604
ISBN-10: 0521802601
Format: Hardback
(228mm x 152mm x 22mm)
Pages: 336
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 5-Dec-2002
Country of Publication: United Kingdom

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Author Biography - Claire Voisin

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