Equality in the Bogomolov--Miyaoka--Yau inequality in the non-general type case

Feng Hao, Stefan Schreieder

We classify all minimal models X of dimension n, Kodaira dimension n-1 and with vanishing Chern number $c_1^{n-2}{c}_2(X)=0$. This solves a problem of Kollár. Completing previous wor…