Hodge Theory and Complex Algebraic Geometry I: Volume 1 (Cambridge Studies in Advanced Mathematics, Series Number 76) - Hardcover
Book 21 of 151: Cambridge Studies in Advanced Mathematics
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.
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About the Author
Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France
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Cambridge Studies in Advanced Mathematics 76: Hodge Theory and Complex Algebraic Geometry I
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Hodge Theory and Complex Algebraic Geometry I: Volume 1: 76 (Cambridge Studies in Advanced Mathematics, Series Number 76)
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Hodge theory and complex algebraic geometry Claire Voisin . Cambridge studies in advanced mathematics 76,77.
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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
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ISBN 13: 9780521802604
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