Pith

open record

sign in
Browse

arxiv: 2205.13926 · v2 · pith:EWAJAP4G · submitted 2022-05-27 · math.KT · math.AG· math.AT

Motivic spectral Mackey functors

Tom Bachmann This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 reserved pith:EWAJAP4Grecord.jsonopen to challenge →

classification math.KT math.AGmath.AT
keywords motivichomotopycategoryfiniteactingalongconstantconstruct
0
0 comments X
read the original abstract

We show that if G is a finite constant group acting on a scheme X such that the order of G is invertible in the residue fields of X, then the G-equivariant motivic stable homotopy category of X is equivalent to the stabilization of the category of motivic G-spaces with finite \'etale transfers over X at the trivial representation sphere. Along the way we obtain several results of independent interest, among them: we construct and study norms in the motivic homotopy theory of stacks, and we extend the homotopy t-structure to DM-stacks and establish some favorable properties.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Kahn-Priddy theorems via the norm

    math.AT 2026-04 unverdicted novelty 7.0

    A short proof of the Kahn-Priddy theorem is obtained via equivariant homotopy theory, yielding new versions in L_n and L_n^f-local, motivic, and synthetic homotopy theories.