Description
Book SynopsisIn 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. This book realizes this by creating a logarithmic Hodge theory. It uses the logarithmic structures begun by Fontaine-Illusie to revive nilpotent orbits as a logarithmic Hodge structure.
Trade Review"The book ... is well and carefully written and even a beginner can learn a lot from it... It is a nice book and can be strongly recommended."--European Mathematical Society Newsletter
Table of Contents*Frontmatter, pg. i*Contents, pg. vii*Introduction, pg. 1*Chapter 0. Overview, pg. 7*Chapter 1. Spaces of Nilpotent Orbits and Spaces of Nilpotent i-Orbits, pg. 70*Chapter 2. Logarithmic Hodge Structures, pg. 75*Chapter 3. Strong Topology and Logarithmic Manifolds, pg. 107*Chapter 4. Main Results, pg. 146*Chapter 5. Fundamental Diagram, pg. 157*Chapter 6. The Map psi:D#val --> DSL(2), pg. 175*Chapter 7. Proof of Theorem A, pg. 205*Chapter 8. Proof of Theorem B, pg. 226*Chapter 9. b-Spaces, pg. 244*Chapter 10. Local Structures of DSL(2) and GAMMA\DbSL(2),<=1, pg. 251*Chapter 11. Moduli of PLH with Coefficients, pg. 271*Chapter 12. Examples and Problems, pg. 277*Appendix, pg. 307*References, pg. 315*List of Symbols, pg. 321*Index, pg. 331
