2 problems

Let $N_0=N\backslash D$ and let $\omega$ be the twisted Kähler–Einstein metric on $N_0$. Let $(X,d_X)$ be the metric completion of $(N_0,\omega)$, and set $S_X=X\backslash N_0$. Le…

Let $f\colon M\to N$ be the Calabi–Yau fibration in the collapsing setting, let $D\subset N$ be the discriminant locus, and write $S=f^{-1}(D)$, $N_0=N\backslash D$. Let…