Perfection in motivic homotopy theory
Algebraic Geometry
2019-10-03 v3 K-Theory and Homology
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.
Keywords
Cite
@article{arxiv.1812.07506,
title = {Perfection in motivic homotopy theory},
author = {Elden Elmanto and Adeel A. Khan},
journal= {arXiv preprint arXiv:1812.07506},
year = {2019}
}
Comments
10 pages. v3: minor revisions; to appear in Proceedings of the LMS