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Hodge Theory and Complex Algebraic Geometry II

Claire Voisin
Publisher: 
Cambridge University Press
Publication Date: 
2008
Number of Pages: 
351
Format: 
Paperback
Series: 
Cambridge Studies in Advanced Mathematics 77
Price: 
52.00
ISBN: 
9780521718028
Category: 
Monograph
We do not plan to review this book.

Introduction. Part I. The Topology of Algebraic Varieties: 1. The Lefschetz theorem on hyperplane sections; 2. Lefschetz pencils; 3. Monodromy; 4. The Leray spectral sequence; Part II. Variations of Hodge Structure: 5. Transversality and applications; 6. Hodge filtration of hypersurfaces; 7. Normal functions and infinitesimal invariants; 8. Nori’s work; Part III. Algebraic Cycles: 9. Chow groups; 10. Mumford’ theorem and its generalisations; 11. The Bloch conjecture and its generalisations; References; Index.

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