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Hodge Theory and Complex Algebraic Geometry I

Claire Voisin
Publisher: 
Cambridge University Press
Publication Date: 
2008
Number of Pages: 
322
Format: 
Paperback
Series: 
Cambridge Studies in Advanced Mathematics 76
Price: 
52.00
ISBN: 
9780521718011
Category: 
Monograph
We do not plan to review this book.

 

Introduction; Part I. Preliminaries: 1. Holomorphic functions of many variables; 2. Complex manifolds; 3. Kähler metrics; 4. Sheaves and cohomology; Part II. The Hodge Decomposition: 5. Harmonic forms and cohomology; 6. The case of Kähler 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.

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