3 problems

Fujita's spectrum conjecture. For each fixed dimension $d$, the set of pseudo-effective thresholds of smooth polarized $d$-folds should be finite away from $0$.

Work over the complex numbers. For all triples $(X,\Delta,M)$, where $(X,\Delta)$ is an $n$-dimensional log smooth variety with $\Delta$ a reduced divisor and $M$ an ample Cartier…

DCC for PE-polytopes. The set of PE-polytopes determined by $n$, $m$, and $$ satisfies the descending chain condition.