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The α-invariant on toric Fano manifolds
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 127, Number 6, December 2005
- pp. 1247-1259
- 10.1353/ajm.2005.0043
- Article
- Additional Information
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Abstract
The global holomorphic α-invariant plays an important role in the study of the existence of Kähler-Einstein metrics on complex manifolds with positive first Chern class. In this paper, we apply the Tian-Yau-Zelditch expansion of the Szegö kernel on polarized Kähler metrics to approximate almost plurisubharmonic functions and derive a formula to compute the α-invariant on toric Fano manifolds.
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