Hodge Theory and Complex Algebraic Geometry I:
Download or Read eBook Hodge Theory and Complex Algebraic Geometry I: PDF written by Claire Voisin and published by Cambridge University Press. This book was released on 2007-12-20 with total page 334 pages. Available in PDF, EPUB and Kindle.
Author | : Claire Voisin |
Publisher | : Cambridge University Press |
Total Pages | : 334 |
Release | : 2007-12-20 |
ISBN-10 | : 0521718015 |
ISBN-13 | : 9780521718011 |
Rating | : 4/5 (15 Downloads) |
Book Synopsis Hodge Theory and Complex Algebraic Geometry I: by : Claire Voisin
Book excerpt: 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.