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The localization theorem for framed motivic spaces

Part of: (Co)homology theory

Published online by Cambridge University Press:  05 February 2021

Marc Hoyois
Marc Hoyois*
Affiliation:
Fakultät für Mathematik, Universität Regensburg, 93040Regensburg, Germanymarc.hoyois@ur.de
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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

motivic homotopy theoryframed correspondencesmotivic cohomology

MSC classification

Primary: 14F42: Motivic cohomology; motivic homotopy theory
Type
Research Article
Information
Compositio Mathematica , Volume 157 , Issue 1 , January 2021 , pp. 1 - 11
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Copyright
© The Author(s) 2021

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Footnotes

The author was partially supported by NSF grant DMS-1761718.

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