
arXiv: 1010.1500
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
Complex Monge-Ampère operators, Mathematics - Differential Geometry, Fano surfaces, Mathematics(all), Kähler-Einstein manifolds, Mathematics - Complex Variables, Kähler manifolds, Kähler-Einstein metrics, 53C25, 32Q20, 32Q15, Kähler–Einstein metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), FOS: Mathematics, Complex Variables (math.CV), Del Pezzo surfaces
Complex Monge-Ampère operators, Mathematics - Differential Geometry, Fano surfaces, Mathematics(all), Kähler-Einstein manifolds, Mathematics - Complex Variables, Kähler manifolds, Kähler-Einstein metrics, 53C25, 32Q20, 32Q15, Kähler–Einstein metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), Differential Geometry (math.DG), FOS: Mathematics, Complex Variables (math.CV), Del Pezzo surfaces
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