Hodge theory and complex algebraic geometry

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.