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Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics), by Claire Voisin
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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.
- Sales Rank: #996652 in Books
- Brand: Brand: Cambridge University Press
- Published on: 2008-02-04
- Original language: French
- Number of items: 1
- Dimensions: 8.98" h x .75" w x 5.98" l, 1.17 pounds
- Binding: Paperback
- 334 pages
- Used Book in Good Condition
Review
"...this book is going to become a very common reference in this field. ...useful for both a student trying to learn the subject as well as the researcher that can find a wealth of results in a clear and compact format. The exposition is very precise and the introduction that precedes each chapter helps the reader to focus on the main ideas in the text." Mathematical Reviews
"Mathematical rewards [await] those who invest their mathematical energies in this beautiful pair of volumes." Bulletin of the AMS
About the Author
Claire Voisin is a Professor at the Institut des Hautes �tudes Scientifiques, France
Most helpful customer reviews
0 of 2 people found the following review helpful.
Five Stars
By Helios
Excellent book!
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