4 problems

Let $f\colon X \to Y$ be a fibration between smooth projective varieties with general fiber $F$ and $\kappa(Y)\ge0$. For a sufficiently divisible positive integer $m$ such that…

Let $f\colon X \to Y$ be a fibration between smooth projective varieties with general fiber $F$ and $\kappa(Y)\ge0$. Define $\operatorname{Var}(f)$ to be the variation of the fibra…

Ueno's Conjecture K strengthening. There exists an isogeny $A' \to A$ such that

Generalized Iitaka conjecture. One has