The Miyaoka-Yau inequality on smooth minimal models
Differential Geometry
2020-12-29 v1
Abstract
In this short note, we offer an observation that the Miyaoka-Yau inequality holds for any compact K\"{a}hler manifold with nef canonical bundle, i.e. a smooth minimal model. It follows directly from the existence of cscK metrics in a neighborhood of the canonical class which was confirmed both by the work of Dyrefelt and Song using different approaches.
Keywords
Cite
@article{arxiv.2012.14096,
title = {The Miyaoka-Yau inequality on smooth minimal models},
author = {Wanxing Liu},
journal= {arXiv preprint arXiv:2012.14096},
year = {2020}
}
Comments
5 pages