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Perfection in motivic homotopy theory

Elmanto, Elden ; Khan, Adeel A.


We prove a topological invariance statement for the Morel-Voevodsky motivic homotopy category up to inverting exponential characteristics of residue fields. This implies in particular that SH1p of characteristic p>0 schemes is invariant under passing to perfections. Among other applications, we prove Grothendieck-Verdier duality in this context.

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