4.4 Article

Perfection in motivic homotopy theory

Journal

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
Volume 120, Issue 1, Pages 28-38

Publisher

WILEY
DOI: 10.1112/plms.12280

Keywords

14F42 (primary); 19E08; 19E15 (secondary)

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Funding

  1. Danish National Research Foundation through the Centre for Symmetry and Deformation [DNRF92]

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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.

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