Chapters in this book

1. Frontmatter i
2. Contributors v
3. Contents vii
4. Preface xv
5. Chapter One. Introduction to Kähler Manifolds 1
6. Chapter Two. From Sheaf Cohomology to the Algebraic de Rham Theorem 70
7. Chapter Three. Mixed Hodge Structures 123
8. Chapter Four. Period Domains and Period Mappings 217
9. Chapter Five. The Hodge Theory of Maps 257
10. Chapter Six The Hodge Theory of Maps 273
11. Chapter Seven. Introduction to Variations of Hodge Structure 297
12. Chapter Eight. Variations of Mixed Hodge Structure 333
13. Chapter Nine. Lectures on Algebraic Cycles and Chow Groups 410
14. Chapter Ten. The Spread Philosophy in the Study of Algebraic Cycles 449
15. Chapter Eleven. Notes on Absolute Hodge Classes 469
16. Chapter Twelve. Shimura Varieties: A Hodge-Theoretic Perspective 531
17. Bibliography 574
18. Index 577