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Hodge theory and Complex algebraic geometry
This page collects material related to the textbook

Claire Voisin,
Hodge theory and Complex algebraic geometry I,II,
Cambridge Stud. in Adv. Math. 76, 77, 2002/3
on Hodge theory and GAGA.
Contents
Volume 1
I Preliminaries
1 Holomorphic functions of many variables
2. Complex manifold
3. Kähler metric
4. Sheaves and cohomology
II The Hodge decomposition
6. The case of Kähler manifolds
7. Hodge structures and polarization
8. Holomorphic de Rham complexes and spectral sequences
III Variations of Hodge structures
10. Variations of Hodge structure
IV. Cycles and cycle classes
11. Hodge classes
12. DeligneBeilinson cohomology and the AbelJacobi map
Volume 2
(…)
Last revised on June 10, 2014 at 03:34:53.
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