Hochschild homology of mod-p motivic cohomology over algebraically closed fields
Abstract
We perform Hochschild homology calculations in the algebro-geometric setting of motives. The motivic Hochschild homology coefficient ring contains torsion classes which arise from the mod-p motivic Steenrod algebra and from generating functions on the natural numbers with finite non-empty support. Under the Betti realization, we recover B\"okstedt's calculation of the topological Hochschild homology of finite prime fields.
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