2 problems

Let $X$ be a smooth projective curve over a finite field, let $S\subseteq X$ be a set of marked points, and consider rank-$2$ $\ell$-adic local systems on…

Let $X$ be a smooth, projective, geometrically connected curve over a finite field $\mathbb{F}_q$, let $S\subseteq X$ be a set of closed points, and let $\overline{X}$ and…