3 problems

Let $f\colon (X, B_X) \to (Y,D)$ be a very basic slc-trivial fibration, where $D$ is the divisor in its structure decomposition. The abundance conjecture. If $D$ is nef, then $D$ i…

Let $f\colon (X, B_X) \to (Y,D)$ be a very basic slc-trivial fibration with structure decomposition … Here $B_Y$ is the discriminant part and $M_Y$ is the moduli part. The lc-conje…

Let $f:(X, B)\to Y$ be a basic slc-trivial fibration, and let $\mathbf M$ denote its moduli part, a moduli $\mathbb Q$-b-divisor on $Y$. B-semi-ampleness conjecture. The moduli par…