Kahler-Einstein metrics on Fano surfaces
arXiv:1010.1500 · doi:10.1016/j.exmath.2011.07.003
Abstract
In these notes we give an exposition of a result of G. Tian, which says that a Fano surfaces admits a Kahler-Einstein metric precisely when the Lie algebra of holomorphic vector fields is reductive.
26 pages, a typo is corrected