English

Reconstructing rational stable motivic homotopy theory

Algebraic Topology 2019-06-26 v3 Algebraic Geometry K-Theory and Homology

Abstract

Using a recent computation of the rational minus part of SH(k)SH(k) by Ananyevskiy-Levine-Panin, a theorem of Cisinski-Deglise and a version of the Roendigs-Ostvaer theorem, rational stable motivic homotopy theory over an infinite perfect field of characteristic different from 2 is recovered in this paper from finite Milnor-Witt correspondences in the sense of Calmes-Fasel.

Keywords

Cite

@article{arxiv.1705.01635,
  title  = {Reconstructing rational stable motivic homotopy theory},
  author = {Grigory Garkusha},
  journal= {arXiv preprint arXiv:1705.01635},
  year   = {2019}
}

Comments

This is the final version, accepted in Compositio Mathematica

R2 v1 2026-06-22T19:36:24.413Z