3 problems

Let $\pi\colon X\rightarrow\operatorname{Spec} k$ be a smooth complete surface over a perfect field $k$ of characteristic $p\neq0$, and let $R\pi_*\mu_{p^n}$ be the derived flat-co…

Let $\pi\colon X\rightarrow\operatorname{Spec} k$ be a smooth complete surface over a perfect field $k$ of characteristic $p\neq0$. Let $H_{\mathrm{fl}}^i(X,\mu_p)$ denote flat coh…

Purity conjecture for flat cohomology. The fppf cohomology with supports vanishes in low degrees: