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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Cambridge Studies in Advanced Mathematics |
| Release date: |
December 2007 |
| First published: |
2002 |
| Authors: |
Claire Voisin
|
| Translators: |
Leila Schneps
|
| Dimensions: |
227 x 153 x 18mm (L x W x T) |
| Format: |
Paperback - Trade
|
| Pages: |
334 |
| ISBN-13: |
978-0-521-71801-1 |
| Languages: |
English
|
| Subtitles: |
French
|
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
Algebraic geometry
|
| LSN: |
0-521-71801-5 |
| Barcode: |
9780521718011 |
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