Singularities on vertical $\epsilon$-log canonical Fano fibrations

Caucher Birkar, Bingyi Chen

Given a Fano type log Calabi-Yau fibration $(X,B)\to Z$ with $(X,B)$ being $\epsilon$-lc, the first author in \cite{Bi23} proved that the generalised pair $(Z,B_Z+M_Z)$ given by the canon…