Kahler-Einstein metrics on Fano surfaces

Mathematics – Differential Geometry

Scientific paper

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26 pages, a typo is corrected

Scientific paper

10.1016/j.exmath.2011.07.003

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.

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