Kawamata-Miyaoka-type inequality for $\mathbb{Q}$-Fano varieties with canonical singularities II: Terminal $\mathbb{Q}$-Fano threefolds

Haidong Liu, Jie Liu

We prove an optimal Kawamata-Miyaoka-type inequality for terminal $\mathbb{Q}$-Fano threefolds with Fano index at least $3$. As an application, any terminal $\mathbb{Q}$-Fano threefo…