• Corpus ID: 227127688

Topological Hochschild homology and Zeta-values

  title={Topological Hochschild homology and Zeta-values},
  author={Baptiste Morin},
  journal={arXiv: Number Theory},
  • B. Morin
  • Published 23 November 2020
  • Mathematics
  • arXiv: Number Theory
Using work of Antieau and Bhatt-Morrow-Scholze, we define a filtration on topological Hochschild homology and its variants of quasi-lci schemes with bounded torsion. Then we compute the graded pieces of this filtration in terms of Hodge completed derived de Rham cohomology relative to the base ring $\mathbb{Z}$. We denote the cofiber of the canonical map from $\mathrm{gr}^{n}TC^-(-)$ to $\mathrm{gr}^{n}TP(-)$ by $L\Omega^{<n}_{-/\mathbb{S}}[2n]$. Let $\mathcal{X}$ be a regular connected scheme… 

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