A priori $L^{\infty}$-estimates for degenerate complex Monge-Ampère equations

Details A priori $L^{\infty}$-estimates for degenerate complex Monge-Ampère equations A priori $L^{\infty}$-estimates for degenerate complex Monge-Ampère equations

2007-12-21

arxiv.org/abs/0712.3743v1

Mathematics

Differential Geometry

6 pages

Scientific paper

We study families of complex Monge-Amp\`ere equations, focusing on the case
where the cohomology classes degenerate to a non big class.
We establish uniform a priori $L^{\infty}$-estimates for the normalized
solutions, generalizing the recent work of S. Kolodziej and G. Tian. This has
interesting consequences in the study of the K\"ahler-Ricci flow.

Affiliated with

Also associated with

No associations

Rating

A priori $L^{\infty}$-estimates for degenerate complex Monge-Ampère equations 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 A priori $L^{\infty}$-estimates for degenerate complex Monge-Ampère equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A priori $L^{\infty}$-estimates for degenerate complex Monge-Ampère equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-697023