2 problems

Let $k$ be a finite field of characteristic $p$, let $U$ be a smooth geometrically connected curve over $k$, and let $\mathscr{F}$ be an irreducible smooth…

Let $p$ be a prime, let $k$ be a finite field with $q=p^s$ elements, and let $X$ be a smooth proper geometrically connected curve over $\operatorname{Spec}(k)$ with function field…