2 problems

Let $X$ be a scheme over a base scheme $S$, and let $pr:\mathbb A^1_X\to X$ be the natural projection. For a torsion sheaf $F\in \operatorname{Sh}_t(X/S)$, write $H^q_t(X/S,F)$ for…

Let $k$ be the base field, and let ${\mathcal F}$ be a simple ${\mathbb A}^1$-invariant sheaf. Write $\Omega^{\bullet}_{k(Y)|k}$ for the graded differential forms of the function f…