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Results tagged with formal-schemes
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user 65846
3
votes
0
answers
129
views
how much information $O_K$ points of a formal scheme over $\mathbb{Z}_p$ contain
assume that $Spf\,A\to Spf\,\mathbb{Z}_p[[t_1,...,t_n]]$ is a closed immersion of flat integral formal schemes over $\mathbb{Z_p}$. I see Kisin several time use that if $Spf\,A(O_K)\subset SPf\,\mathb …
- 1,093
4
votes
0
answers
273
views
nearby cycles map for affine formal schemes
Assume that $X=Spf R$ is p-adic formal scheme over $O_{C_p}$ with generic fiber $X_{\eta}$. I want to know why the nearby cycles map $Ru^\star \mathbb{Z/p}$ is equal to $R\Gamma_{et}(spec R[1/p],\math …
- 1,093
6
votes
Accepted
Motivation for Henselian rings in algebraic geometry
First about the ralation between henselian and formal smoothness property, I think a good idea is to look at what was the first version of Hensel lemma: it says that if $f(\bar{a})=0,f'(\bar{a})\, mo …
- 1,093