Skip to main content
4 events
when toggle format what by license comment
Apr 23, 2010 at 20:59 comment added Torsten Ekedahl @norondion: I have added elaboration in answer.
Apr 23, 2010 at 20:59 history edited Torsten Ekedahl CC BY-SA 2.5
Added elbaoration on direct image of a finite map.
Apr 23, 2010 at 15:30 comment added user19475 "We have that $H^i{et}(X,\mathbf{G}_m) = H^i{et}(Y,f_*\mathbf{G}_m)$ as $f$ is finite": I don't understand this. Why do the higher direct images vanish? I only know this for $f$ affine and the sheaf quasi-coherent. Doesn't $Y = \mathrm{Spec}\mathbf{Z}_p$, $X =$ non-normal finite extension of $Y$ give a counterexample for $R^1\f_*\mathbf{G}_m$?
Apr 23, 2010 at 10:24 history answered Torsten Ekedahl CC BY-SA 2.5