Hodge theory and complex algebraic geometry /
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| Author / Creator: | Voisin, Claire, 1962- |
|---|---|
| Uniform title: | Théorie de Hodge et géométrie algébrique complexe. English |
| Imprint: | Cambridge ; New York : Cambridge University Press, c2002-2003. |
| Description: | 2 v. ; 24 cm. |
| Language: | English |
| Series: | Cambridge studies in advanced mathematics ; 76-77 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4813423 |
Table of Contents:
- Introduction
- Part I. Preliminaries
- 1. Holomorphic functions of many variables
- 2. Complex manifolds
- 3. KÃñhler metrics
- 4. Sheaves and cohomology
- Part II. The Hodge Decomposition
- 5. Harmonic forms and cohomology
- 6. The case of KÃñhler manifolds
- 7. Hodge structures and polarisations
- 8. Holomorphic de Rham complexes and spectral sequences
- Part III. Variations of Hodge Structure
- 9. Families and deformations
- 10. Variations of Hodge structure
- Part IV. Cycles and Cycle Classes
- 11. Hodge classes
- 12. Deligne-Beilinson cohomology and the Abel-Jacobi map
- Bibliography
- Index