TY  - BOOK
AU  - Voisin,Claire
AU  - Schneps,Leila
TI  - Hodge theory and complex algebraic geometry
T2  - Cambridge studies in advanced mathematics
SN  - 9780511615344 (ebook)
AV  - QA564 .V65 2002
U1  - 516.3/5 21
PY  - 2002///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Hodge theory
KW  - Geometry, Algebraic
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511615344
ER  -