Table of contents for Hodge theory and complex algebraic geometry / Claire Voisin.

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Part I. Preliminaries: 1. Holomorphic functions of many variables
2. Complex manifolds
3. Ka;hler metrics
4. Sheaves and cohomology
Part II. The Hodge Decomposition: 5. Harmonic forms and cohomology
6. The case of Ka;hler manifolds
7. Hodge structures and polarisations
8. Holomorphic de Rham complexes
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. The Abel-Jacobi map

Library of Congress subject headings for this publication: Hodge theory, Geometry, Algebraic