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arXiv · 2408.00338

A motivic Greenlees spectral sequence towards motivic Hochschild homology

Federico Ernesto Mocchetti
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Abstract

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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Federico Ernesto Mocchetti. 2024-08-01. A motivic Greenlees spectral sequence towards motivic Hochschild homology. https://arxiv.org/abs/2408.00338

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