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拓扑模形式的严格单位谱

The spectrum of strict units of topological modular forms

Zhenpeng Li, Kiran Luecke

arXiv 2607.27124首次发表:更新:

AI 中文总结

本文在谱代数几何框架下,计算拓扑模形式的严格单位,即从$\boldsymbol{\boldsymbol{Z}}$到单位谱的映射谱的连通覆盖,为该领域研究提供了关键计算结果。

AI 中文摘要

在谱代数几何理论中,拓扑模形式谱是被广泛研究的对象。本文计算拓扑模形式的严格单位,其定义为从$\boldsymbol{\boldsymbol{Z}}$到单位谱的映射谱的连通覆盖。

英文摘要

In the theory of spectral algebraic geometry, few objects receive as much study as the spectrum of topological modular forms. In this paper, we compute the strict units of topological modular forms, defined as the connective cover of the mapping spectrum from $\mathbb{Z}$ to the units spectrum.

Comments23 pages; erroneous group cohomology calculation fixed and more details on $K(1)$-local cases added. Comments welcome!

论文原文

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