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Results tagged with completion
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user 7666
6
votes
Accepted
Artin approximation theorems over non-regular rings/non-Noetherian rings
For any henselian valuation ring, with fraction field $K$, such that the completion $\widehat{K}$ is separable over $K$, see my paper:
An extension of Greenberg’s theorem to general valuation rings, Manuscripta …
- 19.6k
5
votes
Accepted
Dimension of formal fiber
For question 1, my geometric explanation is this: you can find an irreducible "analytic curve" $C$, i.e. a 1-dimensional closed subscheme of $X$, which is "as transcendental as possible", meaning that …
- 19.6k