9780521802604-0521802601-Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)

Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)

ISBN-13: 9780521802604
ISBN-10: 0521802601
Edition: 1
Author: Claire Voisin
Publication date: 2003
Publisher: Cambridge University Press
Format: Hardcover 336 pages
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Book details

ISBN-13: 9780521802604
ISBN-10: 0521802601
Edition: 1
Author: Claire Voisin
Publication date: 2003
Publisher: Cambridge University Press
Format: Hardcover 336 pages

Summary

Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76) (ISBN-13: 9780521802604 and ISBN-10: 0521802601), written by authors Claire Voisin, was published by Cambridge University Press in 2003. With an overall rating of 3.6 stars, it's a notable title among other Foreign Language Study & Reference (Applied, Mathematics) books. You can easily purchase or rent Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76) (Hardcover) from BooksRun, along with many other new and used Foreign Language Study & Reference books and textbooks. And, if you're looking to sell your copy, our current buyback offer is $0.3.

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.
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