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Jan 28, 2013 at 15:24 comment added Steven Sam Add "is of codimension 1" to your conditions and it's okay.
Jan 28, 2013 at 8:51 vote accept IMeasy
Jan 28, 2013 at 8:51
Jan 28, 2013 at 8:50 comment added IMeasy no, probably it is wrong: think of the ideal sheaf of the origin in $\mathbb{A}^2$. that's a counterexample.
Jan 28, 2013 at 8:49 comment added IMeasy yes I see. is the fact the inverse image sheaf of the ideal of the blow up is locally free equivalent to the schematic inverse image being smooth and locally complete intersection?
Jan 28, 2013 at 4:35 history answered Moon CC BY-SA 3.0