Mathematics > Algebraic Geometry
[Submitted on 18 Dec 2018 (v1), last revised 19 Jun 2019 (this version, v3)]
Title:Perfection in motivic homotopy theory
View PDFAbstract: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.
Submission history
From: Adeel A. Khan [view email][v1] Tue, 18 Dec 2018 17:25:13 UTC (24 KB)
[v2] Tue, 22 Jan 2019 20:30:15 UTC (24 KB)
[v3] Wed, 19 Jun 2019 16:13:29 UTC (25 KB)
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