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Apr 27, 2015 at 21:05 comment added pinaki Well, $w \equiv 0$ on both $C_i$, so definitely $wz$ is in the ideal, no?
Jul 14, 2011 at 19:04 comment added Enrique Acosta This way to get the polytope is very nice! Is there a place where I can read about it? Thanks!
Jul 14, 2011 at 17:39 comment added David E Speyer See the discussion at mathoverflow.net/questions/37749/… for discussion of when blow ups are and are not normal. Karl S's example in that thread shows that blowing up a torus invariant subscheme can give a nonnormal result. I don't know an example where the locus being blown up is reduced and you get something non-normal, but I would guess that such examples exist.
Jul 14, 2011 at 13:39 history answered pinaki CC BY-SA 3.0