Splitting results for normed motivic spectra
Tom Bachmann, Elden Elmanto, Jeremiah Heller
TL;DR
This paper proves that the universal normed motivic spectrum of characteristic 2 over certain schemes decomposes into a sum of motivic Eilenberg--MacLane spectra, revealing a significant structural splitting.
Contribution
It establishes a splitting result for the universal normed motivic spectrum in characteristic 2, advancing understanding of motivic spectra structure.
Findings
Universal normed motivic spectrum of characteristic 2 splits into motivic Eilenberg--MacLane spectra
Splitting occurs over schemes where 2 is invertible
Provides new structural insight into motivic spectra
Abstract
We prove that the universal normed motivic spectrum of characteristic 2 over a scheme on which 2 is a unit, splits into a sum of motivic Eilenberg--MacLane spectra.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra