4 problems

Let $K$ be a complete discrete valued field with equal characteristic $0$, and let $\mathcal{X}$ be a smooth proper integral variety of dimension $n$ over $K$. Write…

Let $(X,\Delta)$ be a log canonical pair such that $U:= X \mathbin{\rule[0.2em]{0.67em}{0.12em}} \Delta$ is a subvariety of a torus. Let … be the tropicalization map, and let…

The essential-skeleton convergence conjecture. The triples $(X_t,\tilde\omega_{CY,t},d\underline{\nu}_t)$ converge in the measured Gromov–Hausdorff sense to a compact measured metr…

Let $\mathcal{X}$ be a MUM degeneration, and let $\operatorname{Sk}(\mathcal{X})$ denote its essential skeleton. Write $n$ for the dimension of the Calabi–Yau fibers, or half the d…