The $\alpha$-Invariant on $CP^2#2\bar{CP^2}$
Differential Geometry
2007-05-23 v1
Abstract
In this paper, we apply the Tian-Yau-Zelditch expansion of the Bergman kernel on polarized K\"ahler metrics to approximate plurisubharmonic functions and compute the -invariant of CP^2#2\bar{CP^2}, which is exactly 1/3. In addition we prove Tian's conjecture on the generalized Moser-Trudinger inequality in a special case prescribed by the -invariant.
Cite
@article{arxiv.math/0205041,
title = {The $\alpha$-Invariant on $CP^2#2\bar{CP^2}$},
author = {Jian Song},
journal= {arXiv preprint arXiv:math/0205041},
year = {2007}
}
Comments
16 pages