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

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2023-11-23 DOI:10.1007/s40062-023-00337-y

Sven-Torben Stahn

引用次数: 0

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

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.