Convergence of cscK metrics on smooth minimal models of general type
Differential Geometry
2021-02-23 v2
Abstract
We consider constant scalar curvature K\"{a}hler metrics on a smooth minimal model of general type in a neighborhood of the canonical class, which is the perturbation of the canonical class by a fixed K\"{a}hler metric. We show that sequences of such metrics converge smoothly on compact subsets away from a subvariety to the singular K\"{a}hler Einstein metric in the canonical class. This confirms partially a conjecture of Jian-Shi-Song about the convergence behavior of such sequences.
Keywords
Cite
@article{arxiv.2012.09934,
title = {Convergence of cscK metrics on smooth minimal models of general type},
author = {Wanxing Liu},
journal= {arXiv preprint arXiv:2012.09934},
year = {2021}
}
Comments
23 pages; minor corrections