Hodge Theory and Complex Algebraic Geometry I: Volume 1

Name: Hodge Theory and Complex Algebraic Geometry I: Volume 1
Brand: Cambridge University Press
SKU: 9780521802604
Price: 888.32 RON
Availability: InStock

Autor: Claire Voisin

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Editura: Cambridge University Press

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

Informații despre carte

Autor

Claire Voisin

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2002

Pagini

336

EAN

9780521802604

ISBN

0521802601

Enbook ID

02043972

Editura

Cambridge University Press

Greutate

646

Dimensiuni

236 x 160 x 28

Descriere completă

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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Hodge Theory and Complex Algebraic Geometry I: Volume 1

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