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Mathematics > Algebraic Geometry

arXiv:1807.04253 (math)
[Submitted on 11 Jul 2018 (v1), last revised 15 Sep 2020 (this version, v3)]

Title:The localization theorem for framed motivic spaces

Authors:Marc Hoyois
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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.
Comments: 10 pages. v3: final version, to appear in Compositio; v2: include the characteristic 2 case
Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); K-Theory and Homology (math.KT)
Cite as: arXiv:1807.04253 [math.AG]
  (or arXiv:1807.04253v3 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.04253
Journal reference: Compositio Math. 157 (2021) 1-11
Related DOI: https://doi.org/10.1112/S0010437X20007575

Submission history

From: Marc Hoyois [view email]
[v1] Wed, 11 Jul 2018 17:20:25 UTC (12 KB)
[v2] Fri, 28 Sep 2018 01:49:18 UTC (12 KB)
[v3] Tue, 15 Sep 2020 07:19:53 UTC (14 KB)
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