5 problems

Let $B=B^{\operatorname{ninv}}+B^{\operatorname{inv}}$ and let $(X,\mathcal{F},B^{\operatorname{ninv}}+(1-t)B^{\operatorname{inv}},t)$ be an lc adjoint foliated structure. McKernan…

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 $(X,B)$ 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…