On the limit behavior of metrics in continuity method to Kahler-Einstein problem in toric Fano case
Differential Geometry
2019-02-20 v4
Abstract
This is a continuation of paper \cite{Li}. On any toric Fano manifold, we discuss the behavior of limit metric of a sequence of metrics, which are solutions to a continuity family of complex Monge-Ampere equations in Kahler-Einstein problem. We show that the limit metric satisfies a singular complex Monge-Ampere equation. This shows the conic type singularity for the limit metric. The information of conic type singularities can be read from the geometry of the moment polytope.
Keywords
Cite
@article{arxiv.1012.5229,
title = {On the limit behavior of metrics in continuity method to Kahler-Einstein problem in toric Fano case},
author = {Chi Li},
journal= {arXiv preprint arXiv:1012.5229},
year = {2019}
}
Comments
18 pages, 2 figures. The theorem proving that the metric completion agrees with the Gromov-Hausdorff limit has been removed because it cites sources which have not yet been made public