3 problems

Let $X$ be a variety in characteristic $0$. The uniruledness and Iitaka-fibration conjecture. Either $X$ is uniruled, or $\operatorname{Kod}(X)\geq 0$. If…

Let $M$ be a minimal projective manifold, so that $K_M$ is nef. For sufficiently large and divisible $d$, the linear system $|dK_M|$ defines the Iitaka fibration … where $Y$ is a n…

Let $n\in\mathbb N$ be positive and let $I\subset [0,1]\cap\mathbb Q$ be a DCC set, meaning that $I$ satisfies the descending chain condition. Let $(X,B)$ be an $n$-dimensional com…