3 problems

Let $X$ be a smooth scheme over $S$ of dimension $d$. Write $X^{(a)}$ for the points of codimension $a$, $i_{*,x}$ for extension by zero from $x$, $\epsilon$ for the relevant morph…

Let $f:X\to Y$ be an integral surjection. A scheme is acyclic with respect to a Grothendieck topology if its higher cohomology with coefficients in every abelian sheaf for that top…

Let $X$ be a quasicompact and separated scheme, and let $F$ be an abelian étale sheaf on $X$. The comparison between Čech cohomology and derived-functor cohomology is the assertion…