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Remarks on chromatically localised hermitian K-theory

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arxiv 2202.05036 v1 pith:BWJ2GWZ6 submitted 2022-02-10 math.KT math.AT

classification math.KTmath.AT
keywords theorychromaticgrothendieck-wittlocalisationsringsadditionbhatt-clausen-mathewchromatically
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abstract

We describe chromatic localisations of genuine L-spectra of discrete rings and deduce that the purity property of $K(1)$-local $K$-theory of rings established by Bhatt-Clausen-Mathew also holds in Grothendieck-Witt theory. In addition, we collect some results on higher chromatic localisations of various L-theory spectra and their consequences for Grothendieck-Witt theory.

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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. Chromatic Purity in Hermitian K-Theory at $p=2$

    math.KT 2025-01 reject novelty 6.0 of 10

    At p=2, L-theory of rings with anti-involution is claimed to have no chromatic redshift and to satisfy a chromatic purity theorem.

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