Perfection in motivic homotopy theory

Elmanto, Elden and Khan, Adeel A. (2020) Perfection in motivic homotopy theory. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 120 (1). pp. 28-38. ISSN 0024-6115, 1460-244X

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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 SH1p of characteristic p>0 schemes is invariant under passing to perfections. Among other applications, we prove Grothendieck-Verdier duality in this context.

Item Type: Article
Uncontrolled Keywords: ; 14F42 (primary); 19E08; 19E15 (secondary)
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Mathematics > Prof. Dr. Denis-Charles Cisinski
Depositing User: Dr. Gernot Deinzer
Date Deposited: 08 Apr 2021 09:23
Last Modified: 08 Apr 2021 09:23
URI: https://pred.uni-regensburg.de/id/eprint/45543

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