A motivic Greenlees spectral sequence towards motivic Hochschild homology
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 $p$.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.00338
- arXiv:
- arXiv:2408.00338
- Bibcode:
- 2024arXiv240800338M
- Keywords:
-
- Mathematics - Algebraic Topology;
- Mathematics - K-Theory and Homology
- E-Print:
- 49 pages, 6 figures