6 problems

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 $X$ be a normal variety of dimension $d$, and let $\mathcal{F}\subset\mathcal{G}\subset T_X$ be foliations. McKernan's nested-foliation ACC conjecture. For every positive integ…

Let $d$ be a positive integer, let $\Gamma_0\subset[0,1]\cap\mathbb{Q}$ be finite, and let $t_0\in[0,1]$ be irrational. Uniform interpolated lc rational polytope conjecture. There…

Let $(X,\mathcal{F},B,t)$ be an adjoint foliated structure, with $B=B^{\operatorname{ninv}}+B^{\operatorname{inv}}$, and let $D$ be an $\mathbb{R}$-divisor. The ACC conjecture for…

Let $(X,B)$ be a pair of dimension $d$, let $\mathcal{F}$ be a foliation on $X$, and write $B=B^{\operatorname{ninv}}+B^{\operatorname{inv}}$ so that…

Let $v_1^0,\dots,v_m^0$ be positive integers and set $\boldsymbol{v}_0=(v_1^0,\dots,v_m^0)$. The rational envelope of $\boldsymbol{v}_0$ is the ambient rational-affine object in wh…