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May 15, 2012 at 20:42 comment added Matthieu Romagny @Yosemite Sam: one reference is Matsumura, Commutative Ring Theory, Thm 23.1 and another reference is EGA IV2 (=IHES 24), Prop 6.1.5.
Jan 25, 2012 at 13:58 comment added Yosemite Sam @matthew morrow: could you please give a reference for the miracle cohen-macaulay theorem?
May 8, 2010 at 13:32 comment added Matthew Morrow Don't forget the "miracle Cohen-Macaulay" theorem: if $f:X\to Y$ is a local complete intersection with $Y$ regular (and locally Noetherian!! Trying to avoid the mistake I made above!), then $X$ is Cohen-Macaulay.
May 8, 2010 at 13:09 history answered David E Speyer CC BY-SA 2.5