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

2022/11/04 by Raphaël Ruimy, Ruimy, Raphaël · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2211.02505

openalex publication_date 2022/11/04 · openalex created_date 2022/11/12 · openalex updated_date 2026/07/28

Abstract

We link smooth Artin motives to étale local systems and Artin representations. We then construct the ordinary motivic t-structure on Artin motives with integral coefficients and show that the ℓ-adic realization functor is t-exact.

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