Establishes a representability criterion for v-sheaf modifications of formal schemes and applies it to parahoric level structures on local shtukas, yielding local representability of integral models of local Shimura varieties under hyperspecial levels.
The Riemannian Hebbarkeitss\"atze for pseudorigid spaces
2 Pith papers cite this work. Polarity classification is still indexing.
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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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math.NT 2verdicts
UNVERDICTED 2representative citing papers
New transparent proof of Drinfeld's representability theorem for moduli of p-divisible groups with extra actions, plus detailed presentation of the moduli space and formal model of the p-adic symmetric space.
citing papers explorer
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Relative representability and parahoric level structures
Establishes a representability criterion for v-sheaf modifications of formal schemes and applies it to parahoric level structures on local shtukas, yielding local representability of integral models of local Shimura varieties under hyperspecial levels.
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On Drinfeld's representability theorem
New transparent proof of Drinfeld's representability theorem for moduli of p-divisible groups with extra actions, plus detailed presentation of the moduli space and formal model of the p-adic symmetric space.