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Feb 3, 2015 at 5:57 comment added Anton Geraschenko Apparently the noetherian and locally separated hypotheses are not needed: mathoverflow.net/q/195528.
Feb 3, 2015 at 3:43 comment added Anton Geraschenko If $X$ is noetherian and locally separated, this is Corollary III.3.6 of Knutson's book Algebraic Spaces.
Nov 8, 2009 at 8:20 comment added David Zureick-Brown I believe this is in Knutson's book.
Nov 8, 2009 at 3:57 comment added Anton Geraschenko How do you show that X is a scheme if X_{red} is? I remember we worked this out before, but I don't remember how. I feel like the first thing to do (assuming X is noetherian) is to reduce to showing that a square-zero thickening of a scheme is a scheme.
Nov 8, 2009 at 2:26 history answered David Zureick-Brown CC BY-SA 2.5