Carlson, James, Müller-Stach, S., Peters, C. 　著

内容

目次

Part I. Basic Theory of the Period Map: 1. Introductory examples; 2.Cohomology of compact Kahler manifolds; 3. Holomorphic invariants andcohomology; 4. Cohomology of manifolds varying in a family; 5. Period mapslooked at infinitesimally; Part II. The Period Map: Algebraic Methods: 6.Spectral sequences; 7. Koszul complexes and some applications; 8. Furtherapplications: Torelli theorems for hypersurfaces; 9. Normal functions andtheir applications; 10. Applications to algebraic cycles: Nori's theorem;Part III: Differential Geometric Methods: 11. Further differential geometrictools; 12. Structure of period domains; 13. Curvature estimates andapplications; 14. Harmonic maps and Hodge theory; Appendix A. Projectivevarieties and complex manifolds; Appendix B. Homology and cohomology;Appendix C. Vector bundles and Chern classes.