Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin
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Hodge Theory and Complex Algebraic Geometry I: Volume 1
By Claire Voisin

Hodge Theory and Complex Algebraic Geometry I: Volume 1

v. 1

By (author) See other recent books by Claire Voisin
Translated by Leila Schneps See other recent books by Leila Schneps
Format: Paperback

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Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin

Book Description

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.

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Book Details

ISBN: 9780521718011
ISBN-10: 0521718015
Format: Paperback
(228mm x 152mm x 19mm)
Pages: 334
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 20-Dec-2007
Country of Publication: United Kingdom

Other Editions...


Books By Author Claire Voisin

Chow Rings, Decomposition of the Diagonal, and the Topology of Families by Claire Voisin Chow Rings, Decomposition of the Diagonal, and the Topology of Families, Paperback (March 2014)

Provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. This title delves into arguments originating in Nori's work that have been further developed by others.

Hodge Theory and Complex Algebraic Geometry II: Volume 2 by Claire Voisin Hodge Theory and Complex Algebraic Geometry II: Volume 2, Paperback (December 2007)

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin Hodge Theory and Complex Algebraic Geometry I: Volume 1, Hardback (December 2002)

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

» View all books by Claire Voisin

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Author Biography - Claire Voisin

Claire Voisin is a Professor at the Institut des Hautes Etudes Scientifiques, France

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