The $α$-Invariant on $CP^2#2\bar{CP^2}$

Details The $α$-Invariant on $CP^2#2\bar{CP^2}$ The $α$-Invariant on $CP^2#2\bar{CP^2}$

2002-05-06

arxiv.org/abs/math/0205041v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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 $\alpha$-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 $\alpha$-invariant.

Affiliated with

Also associated with

No associations

Rating

The $α$-Invariant on $CP^2#2\bar{CP^2}$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The $α$-Invariant on $CP^2#2\bar{CP^2}$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The $α$-Invariant on $CP^2#2\bar{CP^2}$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-497277