2020/12/28 by Liu, Wanxing
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2012.14096
In this short note, we offer an observation that the Miyaoka-Yau inequality holds for any compact Kähler 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.