Mixed Hodge Structures

1. Introduction

Part I. Basic Hodge Theory

2. Compact Kähler Manifolds

3. Pure Hodge Structures

4. Abstract Aspects of Mixed Hodge Structures

Part II. Mixed Hodge Structures on Cohomology Groups

5. Smooth Varieties

6. Singular Varieties

7. Singular Varieties: Complementary Results

8. Applications to Algebraic Cycles and to Singularities

Part III. Mixed Hodge Structures on Homotopy Groups

9. Hodge Theory and Iterated Integrals

10. Hodge Theory and Minimal Models

Part IV. Hodge Structures and Local Systems

11. Variations of Hodge Structure

12. Degenerations of Hodge Structures

13. Applications of Asymptotic Hodge Theory

14. Perverse Sheaves and D-Modules

15. Mixed Hodge Modules

DRM-restrictions

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Avainsanat: MATHEMATICS / General MAT000000