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Mar 6, 2015 at 17:57 comment added Lennart Meier @Tyler and Question Mark: Thanks for the suggestion and for the correction. I have incorporated both into the answer.
Mar 6, 2015 at 17:56 history edited Lennart Meier CC BY-SA 3.0
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Mar 4, 2015 at 21:36 comment added Question Mark I don't understand the "everything else is flat over these" part. E.g., $\mathbb{Z}/p^2\mathbb{Z}$ is not flat over a $\mathbb{Z}$ and it is not a ring over $\mathbb{F}_p$.
Mar 4, 2015 at 21:26 comment added Tyler Lawson I believe that Claim 3 boils down to the computation that $H^1({\cal M}_1, {\cal O})$ is flat (it actually vanishes) -- this isn't formal, and it fails for the moduli of {elliptic curves + nowhere-vanishing 1-forms}, where base-change is false.
Mar 4, 2015 at 20:20 history answered Lennart Meier CC BY-SA 3.0