Hodge Theory and Complex Algebraic Geometry I: Volume 1 Robert Steiner ISBN13: 9780393705812

ISBN13: 9780393705812

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Hodge Theory and Complex Algebraic Geometry I: Volume 1 Robert Steiner ISBN13: 9780393705812This 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