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}
}

T. Bachmann, E. Elmanto, P. A. Ostvaer

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

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