Hodge Theory and Complex Algebraic Geometry I : Volume 1
Overview -
Read Full Product DescriptionThis 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.
New & Used Marketplace 7 copies
from $126.37
Other Available Formats Our Price New & Used Marketplace Hodge Theory and Complex Algebraic Geometry II (Paperback)
Published: 2008-02-01
Publisher: Cambridge University Press$55.99 18 copies from $31.64 Hodge Theory and Complex Algebraic Geometry II (Hardcover)
Published: 2003-07-01
Publisher: Cambridge University Press$150.00 8 copies from $130.70
More About Hodge Theory and Complex Algebraic Geometry I by Claire Voisin; C. Voisin; Bela Bollobas
Overview
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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