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Item Details
Title: HODGE THEORY AND COMPLEX ALGEBRAIC GEOMETRY I: VOLUME 1
Volume: v. 1
By: Claire Voisin, Leila Schneps (Trans)
Format: Paperback

List price: £49.00
Our price: £42.88
Discount:
12.5% off
You save: £6.12
ISBN 10: 0521718015
ISBN 13: 9780521718011
Availability: Usually dispatched within 3-5 days.
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Stock: Currently 1item in stock
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 20 December, 2007
Series: Cambridge Studies in Advanced Mathematics No. 76
Pages: 334
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: UK
Imprint: Cambridge University Press
Returns: Returnable
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