走向动机霍赫希尔德同构的动机格林列斯谱序列

arXiv - MATH - K-Theory and Homology Pub Date : 2024-08-01 DOI:arxiv-2408.00338

Federico Ernesto Mocchetti

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引用次数: 0

摘要

我们通过描述相关的 $t$ 结构来定义动机格林列斯谱序列。然后，我们研究了动机同调谱 modulo a prime number$p$的拓扑霍赫希尔德同调的动机版本。最后，我们利用动机格林列斯谱序列来确定相关谱的同调环，条件是基域是代数封闭的，其特征与$p$共乘。

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A motivic Greenlees spectral sequence towards motivic Hochschild homology

We define a motivic Greenlees spectral sequence by characterising an associated $t$-structure. We then examine a motivic version of topological Hochschild homology for the motivic cohomology spectrum modulo a prime number $p$. Finally, we use the motivic Greenlees spectral sequence to determine the homotopy ring of a related spectrum, given that the base field is algebraically closed with a characteristic that is coprime to $p$.

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arXiv - MATH - K-Theory and Homology

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