3 problems

Let $X$ be an irreducible smooth projective variety defined over an algebraically closed field $k$ of characteristic $p>0$, and let $x\in X$. The étale fundamental group is denoted…

Let $k$ be an algebraically closed field of positive characteristic and let $X$ be a smooth variety over $k$. Write $\pi^t(X)$ for the tame fundamental group and…

Let $k$ be an algebraically closed field of characteristic $p>0$, and let $X$ and $Y$ be smooth, connected, separated, finite type $k$-schemes. Write…