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Mar 25, 2010 at 17:24 comment added Allen Knutson @unknown (google): let X be A^1. Take X union (X minus point) -> X in the obvious way.
Mar 25, 2010 at 10:24 comment added Qfwfq @James: maybe I'm just missing an easy point here, but, you indeed made me get a bit confused...Could you please tell me an example of a (let's say, surjective) morphism which is flat and has proper fibers but it's not a proper morphism? Thank you in advance.
Mar 25, 2010 at 1:28 comment added Dustin Clausen thank you! i was misspeaking. there by "relative" i really meant "in-families", a special case of relative.
Mar 25, 2010 at 1:25 comment added JBorger Lest someone else get confused, let me add that there are some relative properties P which are most definitely not the same as flat + fiberwise P. For instance, properness.
Mar 25, 2010 at 1:19 history undeleted Dustin Clausen
Mar 25, 2010 at 1:18 history edited Dustin Clausen CC BY-SA 2.5
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Mar 25, 2010 at 0:12 history deleted Dustin Clausen
Mar 25, 2010 at 0:11 history answered Dustin Clausen CC BY-SA 2.5