4 problems

Let $(Y',B_{Y'})$ be a pair, and let $\mathfrak{M}(Y',B_{Y'})$ denote the set of b-free b-divisors that are log canonically saturated, meaning … A model has canonically confined si…

Let $(Y/T,B)$ be a weak log Fano contraction, in particular Klt, and let $\{\mathcal{D}_i\}_{i=1}^{\infty}$ be a system of b-divisors. Assume that $\{\mathcal{D}_i\}$ satisfies the…

Ambro–Shokurov's lower semicontinuity conjecture. For each $d$, the function

Ambro–Shokurov's ACC conjecture. The set $\Omega_k$ is an ACC-set: every increasing sequence $\alpha_1\leq\alpha_2\leq\cdots$ in $\Omega_k$ eventually becomes stationary.