3 problems

Finiteness conjecture for wlc klt models. The number of projective wlc klt models in a fixed 0-class is finite up to log isomorphism.

Let $S$ be a $\mathbb{Q}$-acyclic surface of log general type, and let $(X,D)$ be a minimal log smooth completion of $S$. Here, $\mathcal{T}_{X}(-\log D)$ denotes the logarithmic t…

Let $S$ be a smooth $\mathbb{Q}$-acyclic surface, and let $(X,D)$ be a log smooth completion of $S$. Here, $K_X$ is the canonical divisor of $X$, $D$ is the boundary divisor, and…