2 problems

Let $X$ be a smooth projective variety of dimension $n$ over an algebraically closed field $k$, and let $\ell$ be a prime distinct from the characteristic of $k$. Numerical equival…

Let $X$ be a smooth projective variety defined over a number field $k$, let $\ell$ be a prime, and set … Let $G_\ell$ be the generic fiber of the Zariski closure of the image of th…