环面Fano情形下Kähler-Einstein问题连续方法中度量的极限行为
微分几何
2019-02-20 v4
摘要
本文是文献\cite{Li}的续篇。在任何环面Fano流形上，我们讨论了一序列度量的极限度量的行为，这些度量是Kähler-Einstein问题中一族连续复Monge-Ampère方程的解。我们证明极限度量满足一个奇异复Monge-Ampère方程。这表明极限度量具有锥型奇点。锥型奇点的信息可以从矩多面体的几何中读出。
引用
@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}
}
备注
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