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arXiv · 1711.06903

The Riemannian Hebbarkeitss\"atze for pseudorigid spaces

João N. P. Lourenço
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Abstract

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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João N. P. Lourenço. 2017-11-18. The Riemannian Hebbarkeitss\"atze for pseudorigid spaces. https://arxiv.org/abs/1711.06903

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