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Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
Book Description
This is a modern introduction to Kaehlerian geometry and Hodge structure. It starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory and culminates with the Hodge decomposition theorem. The book is is completely self-contained and can be used by students, while its content gives an up-to-date account of Hodge theory and complex algebraic geometry. The text is complemented by exercises which provide useful results in complex algebraic geometry.
About the Author
Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521718015
- ISBN 13 9780521718011
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages334
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Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)
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Hodge Theory and Complex Algebraic Geometry I
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Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)
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ISBN 13: 9780521718011
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Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76)
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Hodge Theory and Complex Algebraic Geometry I
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Hodge Theory and Complex Algebraic Geometry I: Volume 1
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Hodge Theory and Complex Algebraic Geometry I: Volume 1
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Hodge Theory and Complex Algebraic Geometry I (Paperback)
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Paperback. Condition: new. Paperback. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521718011
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Hodge Theory and Complex Algebraic Geometry, I: v. 1 (Cambridge Studies in Advanced Mathematics)
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