The α-Invariant on Toric Fano Manifolds

Mathematics – Differential Geometry

Scientific paper

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14 pages, 1 figure

Scientific paper

The global holomorphic \alpha-invariant introduced by Tian is closely related
with the study in the existence of Kahler-Einstein metric. We apply the result
of Tian, Lu and Zelditch on polarized Kahler metrics to approximate
plurisubharmonic functions and compute the \alpha-invariant of toric Fano
manifolds.

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