\({\mathbb {C}}\)上奇素数下稳定动机同伦范畴的周期自映射与厚理想

Pub Date : 2023-11-23 DOI:10.1007/s40062-023-00337-y

Sven-Torben Stahn

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引用次数: 0

摘要

本文研究了\({\mathbb {C}}\)上稳定动力同伦范畴上由周期自映射定义的厚理想。此外，我们推广了Ruth Joachimi关于动机Morava k理论所定义的厚理想与稳定同伦范畴中厚理想在Betti实现下的原象之间关系的一些结果。

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

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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