Perfection in motivic homotopy theory
arXiv:1812.07506 · doi:10.1112/plms.12280
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.
10 pages. v3: minor revisions; to appear in Proceedings of the LMS