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Strong convergence in the motivic Adams spectral sequence

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arxiv 1901.03399 v1 pith:PIKU47WR submitted 2019-01-10 math.AT

Jonas Irgens Kylling , Glen Matthew Wilson This is my paper · ORCID
classification math.AT
keywords motivicadamsfieldssequencespectralcompletedconvergencestable
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abstract

We prove strong convergence results for the motivic Adams spectral sequence of the sphere spectrum over fields with finite virtual cohomological dimension at the prime 2, and over arbitrary fields at odd primes. We show that the motivic Adams spectral sequence is not strongly convergent over number fields. As applications we give bounds on the exponents of the $(\ell,\eta)$-completed motivic stable stems, and calculate the zeroth $(\ell,\eta)$-completed motivic stable stems.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Periodic phenomena in stable motivic homotopy theory

    math.AT 2026-07 unverdicted novelty 2.0 of 10

    A survey of periodic phenomena in stable motivic homotopy theory, organizing known motivic Adams spectral sequence computations and open problems; no new theorem is proven.

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