Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics #76) (Paperback)

Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics #76) By Claire Voisin, Leila Schneps (Translator) Cover Image
By Claire Voisin, Leila Schneps (Translator)
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Description


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.


Product Details
ISBN: 9780521718011
ISBN-10: 0521718015
Publisher: Cambridge University Press
Publication Date: December 20th, 2007
Pages: 334
Language: English
Series: Cambridge Studies in Advanced Mathematics