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Moduli spaces of level structures on mixed characteristic local shtukas

Moduli spaces of level structures on mixed characteristic local shtukas

We consider the flat moduli space of parahoric level structures on a local shtuka and show that it is representable over a smooth $p$-adic formal scheme by establishing the dilatation theory of $v$-sheaves. We apply this result to the canonical integral model of a Shimura variety at hyperspecial level and …