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arXiv · 2309.16623

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

Sanath K. Devalapurkar·Shubhodip Mondal
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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.

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Sanath K. Devalapurkar, Shubhodip Mondal. 2023-09-28. $p$-typical curves on $p$-adic Tate twists and de Rham-Witt forms. https://arxiv.org/abs/2309.16623

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