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Perfection in motivic homotopy theory

Published 18 Dec 2018 in math.AG and math.KT | (1812.07506v3)

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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Authors (2)

  1. Elden Elmanto 
  2. Adeel A. Khan 

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