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The $\alpha$-invariant on certain surfaces with symmetry groups

Author(s): Jian Song
Journal: Trans. Amer. Math. Soc. 357 (2005), 45-57.
MSC (2000): Primary 53-XX
Posted: January 29, 2004
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Abstract: The global holomorphic $\alpha$-invariant introduced by Tian is closely related to the existence of Kähler-Einstein metrics. We apply the result of Tian, Yau and Zelditch on polarized Kähler metrics to approximate plurisubharmonic functions and compute the $\alpha$-invariant on $CP^2\char93 n\overline{CP^2}$ for $n=1,2,3$.


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Additional Information:

Jian Song
Affiliation: Department of Mathematics, Columbia University, New York, New York 10027
Email: jsong@math.columbia.edu

DOI: 10.1090/S0002-9947-04-03484-1
PII: S 0002-9947(04)03484-1
Received by editor(s): May 1, 2003
Posted: January 29, 2004
Copyright of article: Copyright 2004, American Mathematical Society


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