ENGLISH

Hodge Theory and Complex Algebraic Geometry I

By Claire Voisin

Book information

Publisher
Cambridge University Press
Year
2003
ISBN
0521802601, 9780521802604
LCC
QA564 .V65 2002
Google Books ID
mAM0SO0TIsUC
Open Library ID
OL18215784M
Language
english
Format
PDF
Filesize
1 MB (1312445 bytes)
Series
Cambridge studies in advanced mathematics 76
Edition
1
Pages
334\334
Orientation
yes
Scanned
no
Time added
2012-02-04 16:00:00

Description

This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.

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