2 problems

Let $(X,B+\boldsymbol{\beta})$ be a generalized klt Kähler pair, where $X$ is a normal compact Kähler variety, and let $\alpha\in H_{\mathrm{BC}}^{1,1}(X,\mathbb{R})$ be a nef clas…

Let $k$ be a field of characteristic $p>0$. Let $(X,\Delta)$ be a klt pair over $k$, and let $f:X\to Z$ be a projective $k$-morphism to a quasi-projective $k$-scheme $Z$. Let $L$ b…