Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Paperback) (ISBN-13: 9780521718011)

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: 0521718015
ISBN-13: 9780521718011
Publisher: Cambridge University Press
Language: English
Published: 12/20/2007
Pages: 334
Format: Paperback
Weight: 1.17lbs
Size: 8.94h x 6.02w x 0.69d