2 problems

Let $(X, \Delta)$ be a smooth C-pair over $\overline{\mathbb{Q}}$. Say that $(X, \Delta)$ satisfies potential density of integral points if, for some number field $K$, finite set o…

Let $n$ and $d$ be positive integers, let $S$ be a finite set of primes, and let $\mathcal{M}_{n,d}=[\mathbf{PGL}(n+2)\backslash U_{n,d}]$ be the moduli stack of smooth degree $d$…