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arXiv · 1812.07506

Perfection in motivic homotopy theory

Elden Elmanto·Adeel A. Khan
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Abstract

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 SH[1/p] 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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Elden Elmanto, Adeel A. Khan. 2018-12-18. Perfection in motivic homotopy theory. https://doi.org/10.1112/plms.12280

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