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12 votes

algebraization theorems

There are algebraizations theorems in Diophantine Geometry of an apparently different nature. In fact, Jean-Benoît Bost has explained how to think of them as variants of Grothendieck's existence theor …
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11 votes

Non-algebraizable Formal Scheme?

Bhargav's example is really an example of a non-algebraic formal subscheme of the affine plane. Such examples are ubiquitous in foliation theory : a differential equation and, more generally, a foliat …
5 votes

Non-algebraizable Formal Scheme?

I find it more or less illusory to ask for non-algebraizable formal schemes which would not fit into the scope of deformation theory. Indeed, a formal scheme $\hat X$ over $C[[t]]$, say, is nothing bu …