Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Hardcover) (ISBN-13: 9780521802604)

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
ISBN-10: 0521802601
ISBN-13: 9780521802604
Publisher: Cambridge University Press
Language: English
Published: 12/05/2002
Pages: 336
Format: Hardcover
Weight: 1.22lbs
Size: 9.24h x 6.34w x 0.86d