莫拉瓦K理论与幂过滤

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-11-11 DOI:10.1017/s1474748023000233

T. Barthel, Piotr Pstrągowski

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引用次数: 3

摘要

基于Morava k理论证明了Adams谱序列的收敛性，并将其与Lubin-Tate环上的极大理想通过Miller平方的幂滤波联系起来。我们利用幂滤波构造了k局部球与派生的补全函子的同调的谱序列，并将后者表示为Morava稳定群的上同调。作为一个应用，我们计算了所有质数和高度的零极限。

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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MORAVA K-THEORY AND FILTRATIONS BY POWERS

We prove the convergence of the Adams spectral sequence based on Morava K-theory and relate it to the filtration by powers of the maximal ideal in the Lubin–Tate ring through a Miller square. We use the filtration by powers to construct a spectral sequence relating the homology of the K-local sphere to derived functors of completion and express the latter as cohomology of the Morava stabiliser group. As an application, we compute the zeroth limit at all primes and heights.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.