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

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Management number 231717184 Release Date 2026/06/18 List Price $18.78 Model Number 231717184
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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. Read more

ISBN10 0521718015
ISBN13 978-0521718011
Edition 1st
Language English
Publisher Cambridge University Press
Dimensions 6.02 x 0.71 x 8.94 inches
Item Weight 1.15 pounds
Print length 334 pages
Part of series Cambridge Studies in Advanced Mathematics
Publication date February 4, 2008

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