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Aug 13, 2013 at 14:28 answer added Karl Schwede timeline score: 2
Aug 13, 2013 at 13:55 comment added Jason Starr In flat families, the $S_2$ property and the Cohen-Macaulay property are open. Thus you can try to prove this open property of the blowup by specialization to the normal cone. For the normal cone, this is related to Hironaka's notion of "normal flatness".
Aug 13, 2013 at 11:25 comment added rita @ulrich: you also need $R_1$, namely non singular in codimension 1
Aug 13, 2013 at 5:51 history asked LMN CC BY-SA 3.0