代数几何中的Devinatz-Hopkins定理

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2023-09-26 DOI:10.2140/agt.2023.23.3015

Rok Gregoric

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引用次数: 2

摘要

在本文中，我们展示了如何在形式谱代数几何的背景下，通过在形式群的取向变形叠加上的单构得到Morava稳定群$\mathbb G_n$在Lubin-Tate谱$E_n$上的连续作用，满足Devinatz-Hopkins定理的结论$E_n^{h\mathbb G_n}\simeq L_{K(n)} S$。

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The Devinatz–Hopkins theorem via algebraic geometry

In this note, we show how a continuous action of the Morava stabilizer group $\mathbb G_n$ on the Lubin-Tate spectrum $E_n$, satisfying the conclusion $E_n^{h\mathbb G_n}\simeq L_{K(n)} S$ of the Devinatz-Hopkins Theorem, may be obtained by monodromy on the stack of oriented deformations of formal groups in the context of formal spectral algebraic geometry.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.