Degeneration of K\"{a}hler-Einstein Manifolds I: The Normal Crossing Case
微分几何
2016-09-07 v2
摘要
In this paper we prove that the K\"{a}hler-Einstein metrics for a degeneration family of K\"{a}hler manifolds with ample canonical bundles Gromov-Hausdorff converge to the complete K\"{a}hler-Einstein metric on the smooth part of the central fiber when the central fiber has only normal crossing singularities inside smooth total space. We also prove the incompleteness of the Weil-Peterson metric in this case.
引用
@article{arxiv.math/0303112,
title = {Degeneration of K\"{a}hler-Einstein Manifolds I: The Normal Crossing Case},
author = {Wei-Dong Ruan},
journal= {arXiv preprint arXiv:math/0303112},
year = {2016}
}
备注
minor correction in referencing