4 problems

Lagrangian-fibration base conjecture. The base $B$ is isomorphic to a quotient of

Rational Lagrangian fibration conjecture. One has

Voisin's injectivity conjecture. The restriction

Let $Y$ be a bielliptic surface, let $f\colon X\to Y$ be its canonical covering of degree $n=2$, and let $w$ be a sheaf class on $Y$. Write $K_{X;f^*H,f^*A}(f^*w)$ and…