ScalingStacks

Definition 2.93 . [00K0]

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Definition 2.93.

Let XX be a finite type scheme over Spec⁡k\spec k, and write XX as ⋃Xi\bigcup X_{i} where Xi=Spec⁡AXiX_{i}=\spec A_{X_{i}} are affine charts. The Berkovich analytification of (X,𝒪X)(X,\mathscr{O}_{X}) is the locally ringed space obtained by gluing the Berkovich analytification ((Xi)a​n,𝒪(Xi)a​n)((X_{i})^{an},\mathscr{O}_{(X_{i})^{an}}) of each (Xi,𝒪Xi)(X_{i},\mathscr{O}_{X_{i}}).

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