4 problems

Let $a\geq0$ and $d$ be a nonnegative integer. The sets $\mathcal S_d\text{(global)}$, $\mathcal S_d^0\text{(global)}$, $\mathcal S_{a,d}\text{(local)}$,…

McKernan's ACC conjecture. There exists an ACC set $\Gamma\subset [0,1]$ depending only on $d$ such that, for every such $\mathcal{F}$ on $X$, the threshold…

Let $n$ be a positive integer. ACC conjecture. The set of all possible local volumes $\widehat{\rm vol}(x,X)$ of $n$-dimensional klt singularities is discrete away from zero. This…

Let $d\in\mathbb{Z}_{>0}$ and let $I\subset[0,+\infty)$ be a subset satisfying the DCC. Define … where $M\in I$ has the meaning specified in the source's definition of generalized…