2 problems

Let $X$ be a compact Kähler manifold of dimension $n$, and let $L_1,\ldots,L_k$ be movable classes, where $1\leq k\leq n$. For $I\subseteq [k]$, write $L_I=\sum_{i\in I}L_i$, and l…

Let $\varphi:X\rightarrow Y$ be a surjective holomorphic map between compact Kähler manifolds of dimensions $n$ and $k$, respectively, and let $A$ be a Kähler class on $Y$. Set…