HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY I: VOLUME 1 by Claire Voisin, Leila Schneps (Trans) ( 9780511615344 )

Item Details

Title:

HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY I: VOLUME 1

By:

Format:

Electronic book text

List price:	£135.00
We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10:

0511615345

ISBN 13:

9780511615344

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

21 January, 2010

Series:

Cambridge Studies in Advanced Mathematics 76

Translated from:

French

Description:

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

Synopsis:

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.

Illustrations:

30 exercises

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable

Some other items by this author:

ALEXANDRE GROTHENDIECK (HB)

ALGEBRAIC CYCLES AND HODGE THEORY (PB)

ANALYSIS ON LIE GROUPS (PB)

CHOW RINGS, DECOMPOSITION OF THE DIAGONAL, AND THE TOPOLOGY OF FAMILIES (AM-187)