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: 02/01/2008
Pages: 334
Binding Type: Paperback
Weight: 1.17lbs
Size: 8.94h x 6.02w x 0.69d
ISBN13: 9780521718011
ISBN10: 0521718015
BISAC Categories:
- Mathematics | Geometry | Algebraic
- Medical | General
- Mathematics | Applied

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