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Hodge Theory And Complex Algebraic Geometry I: Volume 1 at Meripustak

Hodge Theory And Complex Algebraic Geometry I: Volume 1 by Claire Voisin , Translated by Leila Schneps, CAMBRIDGE UNIVERSITY PRESS

Books from same Author: Claire Voisin , Translated by Leila Schneps

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  • General Information  
    Author(s)Claire Voisin , Translated by Leila Schneps
    PublisherCAMBRIDGE UNIVERSITY PRESS
    ISBN9780521718011
    Pages126
    BindingPaperback
    Language_x000D_English
    Publish YearJanuary 2011

    Description

    CAMBRIDGE UNIVERSITY PRESS Hodge Theory And Complex Algebraic Geometry I: Volume 1 by Claire Voisin , Translated by Leila Schneps

    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.show more