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Integral Artin motives I: Smooth objects and the ordinary t-structure

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arxiv 2211.02505 v4 pith:UAJYRRTN submitted 2022-11-04 math.AG

Raphaël Ruimy This is my paper · ORCID
classification math.AG
keywords artinmotivesintegralordinarysmootht-structureadiccoefficients
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abstract

We link smooth Artin motives to \'etale local systems and Artin representations. We then construct the ordinary motivic t-structure on Artin motives with integral coefficients and show that the $\ell$-adic realization functor is t-exact.

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Cited by 2 Pith papers

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

  1. Deligne 1-motives with torsion and \'etale motives

    math.AG 2025-06 conditional novelty 7.0 of 10

    For Q-schemes and Dedekind schemes, the motivic t-structure exists on 1-motives with integral coefficients, with heart the abelian category of Deligne 1-motives with torsion.

  2. Profinite Borel completeness and smooth Artin motives

    math.AT 2026-06 unverdicted novelty 6.0 of 10

    Smooth Artin motives over a connected noetherian base scheme are equivalent to permutation modules for the profinite étale fundamental group, via Borel-complete equivariant spectra.

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