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arXiv · 2503.12060

Motivic stable stems and Galois approximations of cellular motivic categories

Tom Bachmann·Robert Burklund·Zhouli Xu
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Abstract

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.

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Tom Bachmann, Robert Burklund, Zhouli Xu. 2025-03-15. Motivic stable stems and Galois approximations of cellular motivic categories. https://arxiv.org/abs/2503.12060

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