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Mar 27, 2011 at 2:42 comment added Jorge Vitório Pereira You are right the result above holds true in general, no need to restrict to char zero. If one further assume that $Y$ and $Z$ are smooth and want to conclude that the intersection is also smooth then one does need to restrict to char zero.
Mar 27, 2011 at 0:49 comment added Allen Knutson Note that some of Kleiman's results only hold in characteristic 0, but my guess (without having it at hand) would be that this one is general.
Mar 23, 2011 at 2:53 history edited Jorge Vitório Pereira CC BY-SA 2.5
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Mar 22, 2011 at 18:58 vote accept Parsa
Mar 22, 2011 at 18:42 history edited Jorge Vitório Pereira CC BY-SA 2.5
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Mar 22, 2011 at 18:27 history answered Jorge Vitório Pereira CC BY-SA 2.5