The localization theorem for framed motivic spaces
arXiv:1807.04253 · doi:10.1112/S0010437X20007575
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.
10 pages. v3: final version, to appear in Compositio; v2: include the characteristic 2 case