$p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms

Sanath K. Devalapurkar; Shubhodip Mondal

$p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms

K-Theory and Homology 2025-03-06 v2 Algebraic Geometry Algebraic Topology

Authors: Sanath K. Devalapurkar , Shubhodip Mondal

Abstract

We show that de Rham--Witt forms are naturally isomorphic to $p$ -typical curves on $p$ -adic Tate twists, which answers a question of Artin--Mazur from 1977 pursued in the earlier work of Bloch and Kato. We show this by more generally equipping a related result of Hesselholt on topological cyclic homology with the motivic filtrations introduced by Bhatt--Morrow--Scholze.

Keywords

de rham-witt forms p-typical curves p-adic tate twists topological cyclic homology motivic filtrations algebraic geometry

Cite

@article{arxiv.2309.16623,
  title  = {$p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms},
  author = {Sanath K. Devalapurkar and Shubhodip Mondal},
  journal= {arXiv preprint arXiv:2309.16623},
  year   = {2025}
}

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Comments welcome! Made some minor updates

$p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms

Abstract

Keywords

Cite

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