Period Mappings and Period Domains

Klappentext This book discusses the basic properties of period maps and period domains. Zusammenfassung This 2003 book discusses the basic properties of period maps and period domains. Inhaltsverzeichnis Part I. Basic Theory of the Period Map: 1. Introductory examples; 2. Cohomology of compact Kahler manifolds; 3. Holomorphic invariants and cohomology; 4. Cohomology of manifolds varying in a family; 5. Period maps looked at infinitesimally; Part II. The Period Map: Algebraic Methods: 6. Spectral sequences; 7. Koszul complexes and some applications; 8. Further applications: Torelli theorems for hypersurfaces; 9. Normal functions and their applications; 10. Applications to algebraic cycles: Nori's theorem; Part III: Differential Geometric Methods: 11. Further differential geometric tools; 12. Structure of period domains; 13. Curvature estimates and applications; 14. Harmonic maps and Hodge theory; Appendix A. Projective varieties and complex manifolds; Appendix B. Homology and cohomology; Appendix C. Vector bundles and Chern classes.

Produktdetails

• Autoren: James Carlson, James Muller-Stach Carlson, Stefan Muller-Stach, Chris Peters
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Fester Einband
• Erschienen: 20.10.2003
• EAN: 9780521814669
• ISBN: 978-0-521-81466-9
• Seiten: 448
• Serien: Cambridge Studies in Advanced Mathematics; Cambridge Studies in Advanced; Cambridge Studies in Advanced Mathematics
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Analysis