2 problems

In the variation setup, let $E$ be a numerically flat vector bundle on a smooth complex projective variety, with model $\mathcal E$ over $S$. Let $\Sigma^{\mathrm{net}}$ be the set…

Keep the mixed-characteristic model $\pi:\mathcal X\to S$ and the vector bundle $E$ from the variation setup, and assume that $E$ is numerically flat. A bundle is étale trivializab…