The Slice Spectral Sequence of a 𝐶₄-Equivariant Height-4 Lubin–Tate Theory

IF 2 4区数学 Q1 MATHEMATICS

Memoirs of the American Mathematical Society Pub Date : 2023-08-01 DOI:10.1090/memo/1429

Michael Hill, Xiaolin Shi, Guozhen Wang, Zhouli Xu

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引用次数: 0

Abstract

We completely compute the slice spectral sequence of the C 4 C_4 -spectrum B P ( ( C 4 ) ) ⟨ 2 ⟩ BP^{(\!(C_4)\!)}\langle 2 \rangle . This spectrum provides a model for a height-4 Lubin–Tate theory with a C 4 C_4 -action induced from the Goerss–Hopkins–Miller theorem. In particular, our computation shows that E 4 h C 12 E_4^{hC_{12}} is 384-periodic.

查看原文本刊更多论文

一个的切片谱序列𝐶₄-等高-4鲁宾-泰特理论

我们完全计算了C4 C_4谱BP（（C4））⟨2⟩BP^{（！（C_4）\！）}\langle2\rangle的切片谱序列。该谱为高度为4的Lubin–Tate理论提供了一个模型，该理论具有由Goerss–Hopkins–Miller定理导出的C4 C_4作用。特别地，我们的计算表明E4hC12E_4^{hC_{12}}是384周期性的。

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

Memoirs of the American Mathematical Society 数学-数学

CiteScore

3.50

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Memoirs of the American Mathematical Society is devoted to the publication of research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers or groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the AMS. To be accepted by the editorial board, manuscripts must be correct, new, and significant. Further, they must be well written and of interest to a substantial number of mathematicians.