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Apr 17, 2010 at 2:59 comment added Hailong Dao @VA: You are right, my reason is the example also illustrates the smoothing situation: let t=x-y, then S is flat over k[[t]], S/(t)=A, and $S/(t-\alpha) \cong k^2$ for all $\alpha \in k$.
Apr 16, 2010 at 21:53 history asked Hailong Dao CC BY-SA 2.5