Motivic stable stems and Galois approximations of cellular motivic categories

Fuente: arXiv
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Autores principales: Bachmann, Tom, Burklund, Robert, Xu, Zhouli
Formato: Preprint
Publicado: 2025
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author Bachmann, Tom
Burklund, Robert
Xu, Zhouli
author_facet Bachmann, Tom
Burklund, Robert
Xu, Zhouli
contents We reconstruct (appropriately completed) categories of cellular motivic spectra over fields of small cohomological dimension in terms of only their absolute Galois groups. As our main application, we determine the motivic stable stems (away from the characteristic) of almost all fields.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12060
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Motivic stable stems and Galois approximations of cellular motivic categories
Bachmann, Tom
Burklund, Robert
Xu, Zhouli
Algebraic Geometry
Algebraic Topology
K-Theory and Homology
We reconstruct (appropriately completed) categories of cellular motivic spectra over fields of small cohomological dimension in terms of only their absolute Galois groups. As our main application, we determine the motivic stable stems (away from the characteristic) of almost all fields.
title Motivic stable stems and Galois approximations of cellular motivic categories
topic Algebraic Geometry
Algebraic Topology
K-Theory and Homology
url https://arxiv.org/abs/2503.12060