2 problems

Let $X$ be a smooth variety over a perfect field of characteristic $p$, and let $Y\hookrightarrow X$ be a normal crossing divisor. For integers $i=n=\dim X$, consider the Zariski a…

Keep the hypotheses of Conjecture A: $k$ is perfect, $X/k$ is normal, $j:U\hookrightarrow X$ is a $k$-smooth open immersion with complement supporting an effective Cartier divisor,…