Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics)
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.
Best prices to buy, sell, or rent ISBN 9780511615344
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Hodge Theory and Complex Algebraic Geometry I ICM Edition: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)
Voisin, Claire
ISBN-13:9780521170321
Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)
Voisin, Claire
Edition:1
ISBN-13:9780521718011
Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)
Voisin, Claire
Edition:1
ISBN-13:9780521802604
Hodge Theory and Complex Algebraic Geometry II ICM Edition: Volume 2 (Cambridge Studies in Advanced Mathematics, Series Number 77)
Voisin, Claire
ISBN-13:9780521170338
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