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Periodic self maps and thick ideals in the stable motivic homotopy category over \({\mathbb {C}}\) at odd primes

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Abstract

In this article we study thick ideals defined by periodic self maps in the stable motivic homotopy category over \({\mathbb {C}}\). In addition, we extend some results of Ruth Joachimi about the relation between thick ideals defined by motivic Morava K-theories and the preimages of the thick ideals in the stable homotopy category under Betti realization.

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  1. Fachgruppe Mathematik und Informatik, Bergische Universität Wuppertal, Munich, Germany

    Sven-Torben Stahn

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  1. Sven-Torben Stahn
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Correspondence to Sven-Torben Stahn.

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Communicated by Charles Weibel.

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Stahn, ST. Periodic self maps and thick ideals in the stable motivic homotopy category over \({\mathbb {C}}\) at odd primes. J. Homotopy Relat. Struct. 18, 563–604 (2023). https://doi.org/10.1007/s40062-023-00337-y

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