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Results tagged with formal-schemes
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user 297
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Can isomorphisms of schemes be constructed on formal neighborhoods?
No. Let A be k[[t]]. Let X be A^1 \setminus {-1,0,1} and Y be A^1 \setminus {1,t,-1}. In explicit equations, X = Spec k[[t]][x, y]/y(x-1)x(x+1)-1 and Y = Spec k[[t]][x, y]/y(x-1)(x-t)(x+1)-1.
Over k …
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Can isomorphisms of schemes be constructed on formal neighborhoods?
I feel like I have seen some theorem saying that this result is true for projective families, and maybe even for proper families. If anyone knows a reference, please post it.
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