Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)
ISBN-13:
9780521718011
ISBN-10:
0521718015
Edition:
1
Author:
Claire Voisin
Publication date:
2008
Publisher:
Cambridge University Press
Format:
Paperback
334 pages
Category:
Applied
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9780521718011
ISBN-10:
0521718015
Edition:
1
Author:
Claire Voisin
Publication date:
2008
Publisher:
Cambridge University Press
Format:
Paperback
334 pages
Category:
Applied
,
Mathematics
Summary
Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76) (ISBN-13: 9780521718011 and ISBN-10: 0521718015), written by authors
Claire Voisin, was published by Cambridge University Press in 2008.
With an overall rating of 3.8 stars, it's a notable title among other
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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.
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