Corpus ID: 212633654

# Stable motivic invariants are eventually étale local

@article{Bachmann2020StableMI,
title={Stable motivic invariants are eventually {\'e}tale local},
author={T. Bachmann and E. Elmanto and P. A. Ostvaer},
journal={arXiv: K-Theory and Homology},
year={2020}
}
• Published 2020
• Mathematics
• arXiv: K-Theory and Homology
• In this paper we prove a Thomason-style descent theorem for the $\rho$-complete sphere spectrum. In particular, we deduce a very general etale descent result for torsion, $\rho$-complete motivic spectra. To this end, we prove a new convergence result for slice spectral sequence in the $\rho$-complete motivic category, following Levine's work. This generalizes and extends previous etale descent results for motivic cohomology theories which, combined with etale rigidity results, gives a complete… CONTINUE READING
3 Citations