Skip to main content
4 events
when toggle format what by license comment
May 11, 2010 at 22:40 vote accept solbap
May 11, 2010 at 20:54 comment added Torsten Ekedahl Yes, to the first question. For the second part I am not suggesting that my example says something about direct images of affine morphisms. It is rather an examples of the local picture on the base (in this case $J$) while the direct image is along a proper map.
May 11, 2010 at 18:08 comment added solbap Just to be clear, you are tensoring over $k[t]$ i.e. $\otimes_{k[t]}k$ so $0 \to k[t] \to k[t] \to k$ becomes $0\to k \cong k \xrightarrow{o} k \cong k \to 0$? Also, is it true that we can't hope to make this example a little better by realizing $k[t] \xrightarrow{\cdot t} k[t] \to k \to 0$ as the pushforward of another s.e.s on another scheme? It seems like if we're dealing with quasicoherent modules on affine shcemes then the pushforward of a nonzero module will be nonzero.
May 11, 2010 at 5:22 history answered Torsten Ekedahl CC BY-SA 2.5