Redshift and multiplication for truncated Brown--Peterson spectra

IF 5.7 1区数学 Q1 MATHEMATICS Annals of Mathematics Pub Date : 2020-12-01 DOI:10.4007/annals.2022.196.3.6

Jeremy Hahn, D. Wilson

引用次数: 28

Abstract

We equip $\mathrm{BP} \langle n \rangle$ with an $\mathbb{E}_3$-$\mathrm{BP}$-algebra structure, for each prime $p$ and height $n$. The algebraic $K$-theory of this $\mathbb{E}_3$-ring is of chromatic height exactly $n+1$.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

截断Brown—Peterson谱的红移和乘法

我们为$\mathrm｛BP｝\langle n\rangle$配备了$\mathbb{E}_3$-$\mathrm{BP}$-代数结构，对于每个素数$p$和高度$n$。这个$\mathbb的代数$K$理论{E}_3$-环的色高恰好为$n+1$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Annals of Mathematics 数学-数学

CiteScore

9.10

自引率

2.00%

发文量

审稿时长

12 months

期刊介绍： The Annals of Mathematics is published bimonthly by the Department of Mathematics at Princeton University with the cooperation of the Institute for Advanced Study. Founded in 1884 by Ormond Stone of the University of Virginia, the journal was transferred in 1899 to Harvard University, and in 1911 to Princeton University. Since 1933, the Annals has been edited jointly by Princeton University and the Institute for Advanced Study.

期刊最新文献

Parabolicity conjecture of $F$-isocrystals Erratum to "Disparity in Selmer ranks of quadratic twists of elliptic curves" Erratum to "On the averaged Colmez conjecture" A proof of the Erdős--Faber--Lovász conjecture Stable minimal hypersurfaces in ℝ^N+1+ℓ with singular set an arbitrary closed K⊂{0}×ℝ^ℓ