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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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


Author: Jian Song
Translated by:
Journal: Trans. Amer. Math. Soc. 357 (2005), 45-57
MSC (2000): Primary 53-XX
Published electronically: January 29, 2004
MathSciNet review: 2098086
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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: http://dx.doi.org/10.1090/S0002-9947-04-03484-1
PII: S 0002-9947(04)03484-1
Received by editor(s): May 1, 2003
Published electronically: January 29, 2004
Article copyright: © Copyright 2004 American Mathematical Society