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

Raphaël Ruimy

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

Algebraic Geometry 2025-04-23 v4

Authors: Raphaël Ruimy

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.

Keywords

artin motives étale local systems artin representations motivic t-structure integral coefficients l-adic realization

Cite

@article{arxiv.2211.02505,
  title  = {Integral Artin motives I: Smooth objects and the ordinary t-structure},
  author = {Raphaël Ruimy},
  journal= {arXiv preprint arXiv:2211.02505},
  year   = {2025}
}

Comments

46 pages, comments welcome; the original text was split in two parts (this is the first one). Some of the first sections containing only background material already present in the literature were removed

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

Abstract

Keywords

Cite

Comments

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