English

The localization theorem for framed motivic spaces

Algebraic Geometry 2021-02-10 v3 Algebraic Topology K-Theory and Homology

Abstract

We prove the analog of the Morel-Voevodsky localization theorem for framed motivic spaces. We deduce that framed motivic spectra are equivalent to motivic spectra over arbitrary schemes, and we give a new construction of the motivic cohomology of arbitrary schemes.

Keywords

Cite

@article{arxiv.1807.04253,
  title  = {The localization theorem for framed motivic spaces},
  author = {Marc Hoyois},
  journal= {arXiv preprint arXiv:1807.04253},
  year   = {2021}
}

Comments

10 pages. v3: final version, to appear in Compositio; v2: include the characteristic 2 case

R2 v1 2026-06-23T02:58:04.203Z