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Jan 8, 2011 at 1:04 comment added Hugo Chapdelaine So know very little about deformation theory but in my setting do we have the existence of a miniversal deformation $g:Y\rightarrow FormalSpec(R)$ which reduces modulo the maximal ideal of $R$ to $X_0\rightarrow Spec(\overline{\mathbb{Q}})$ Because if we have such a miniversal deformation then I think that this is good enough. So in otherwords, there is no need to have a moduli space!
Jan 7, 2011 at 2:12 history answered Felipe Voloch CC BY-SA 2.5