Description
Book SynopsisTrade ReviewThis is an important book, in a rapidly-developing area, that brings the specialist or graduate student working on Kähler geometry to the frontiers of today research. It is not a self-contained textbook. The pre-requisites in geometric invariant theory, for example, would require some devotion from a potential reader grounded on Riemannian geometry; vice-versa, a reader brought-up in algebraic geometry would have to make an effort to follow the part on analysis or differential geometry. The rewards for these efforts justify everything: the book is well organized, and when it sketches an argument, there are precise pointers to the literature for full details." -
MAA Reviews"Very well written, the book provides a survey of extremal ahler metrics and it promotes to tackle other topics." - Zentralblatt Math
Table of Contents
- Kahler geometry
- Analytic preliminaries
- Kahler-Einstein metrics
- Extremal metrics
- Moment maps and geometric invariant theory K-stability
- The Bergman kernel CscK metrics on blow-ups
- Bibliography
- Index
