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Timeline for Pushing-forward morphisms

Current License: CC BY-SA 3.0

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Dec 3, 2015 at 20:02 comment added Jérémy Blanc Thanks Jason, this is a nice answer +1! It seems that you did not even use anything like non-ramified, right? Unfortunately, I would like such kind of result where $Y$ is not normal (neither is $X$ or $Z$) and also I would also be happy to have something in characteristic $p$ (but maybe it is too much to ask). I would be happy with $f$ and $\psi$ proper (to avoid the counterexamples you gave), and I added the condition of being unramified to remove the case of a morphism $X\to Z$ from a smooth curve to a cusp (for example). But maybe it does not work?
Dec 3, 2015 at 14:54 history edited Jason Starr CC BY-SA 3.0
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Dec 3, 2015 at 12:47 history edited Jason Starr CC BY-SA 3.0
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S Dec 3, 2015 at 12:34 history answered Jason Starr CC BY-SA 3.0
S Dec 3, 2015 at 12:34 history made wiki Post Made Community Wiki by Jason Starr