Hodge Theory and Complex Algebraic Geometry I: PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Hodge Theory and Complex Algebraic Geometry I: PDF full book. Access full book title Hodge Theory and Complex Algebraic Geometry I: by Claire Voisin. Download full books in PDF and EPUB format.

Hodge Theory and Complex Algebraic Geometry I:

Hodge Theory and Complex Algebraic Geometry I: PDF Author: Claire Voisin
Publisher: Cambridge University Press
ISBN: 9780521718011
Category : Mathematics
Languages : en
Pages : 334

Get Book Here

Book 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.