Hodge Theory and Complex Algebraic Geometry I: Volume 1

by Claire Voisin

Book Overview

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates...

• Format: Hardcover
• Language: English
• ISBN: 0521802601
• ISBN13: 9780521802604
• Release Date: January 2003
• Publisher: Cambridge University Press
• Length: 336 Pages
• Weight: 1.22 lbs.
• Dimensions: 0.9" x 6.3" x 9.2"