A motivic Greenlees spectral sequence towards motivic Hochschild homology
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914895600025600 |
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| author | Mocchetti, Federico Ernesto |
| author_facet | Mocchetti, Federico Ernesto |
| contents | 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 $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00338 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A motivic Greenlees spectral sequence towards motivic Hochschild homology Mocchetti, Federico Ernesto Algebraic Topology K-Theory and 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 $p$. |
| title | A motivic Greenlees spectral sequence towards motivic Hochschild homology |
| topic | Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2408.00338 |