The α-Invariant on Toric Fano Manifolds

2003/07/22 by Jian Song, Song, Jian
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.math/0307288

14 pages, 1 figure

arxiv created 2003/07/22 · arxiv updated 2009/12/01

Abstract

The global holomorphic α-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 α-invariant of toric Fano manifolds.

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