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Apr 25, 2014 at 18:05 vote accept Naga Venkata
Apr 24, 2014 at 21:21 history edited Piotr Achinger CC BY-SA 3.0
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Apr 24, 2014 at 21:19 comment added Piotr Achinger answer_bot: of course, thanks for spotting that!
Apr 24, 2014 at 20:05 comment added answer_bot This argument only works if $Y$ is reduced. A counter example to the question is $\mathbf{C}[x, y]/(x^2, y^2) \to \mathbf{C}[x, y]/(x^2, xy, y^2)$.
Apr 24, 2014 at 18:14 history answered Piotr Achinger CC BY-SA 3.0