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arxiv: 1711.06903 · v1 · pith:ZTAD6O5Pnew · submitted 2017-11-18 · 🧮 math.AG

The Riemannian Hebbarkeitss\"atze for pseudorigid spaces

classification 🧮 math.AG
keywords locallymathcalsectionsspacesadicanalyticatzecertain
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We prove Riemann's theorems on extensions of functions over certain mixed characteristic analytic adic spaces, first introduced by Johansson and Newton. We use these results to reprove a theorem of de Jong identifying global sections of an $\mathcal{O}_K$-flat normal formal scheme, locally formally of finite type over $\mathcal{O}_K$, with locally powerbounded sections over the generic fibre.

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