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

Autor:	Devalapurkar, Sanath K., Mondal, Shubhodip
Rok vydání:	2023
Předmět:	Mathematics - K-Theory and Homology Mathematics - Algebraic Geometry Mathematics - Algebraic Topology
Druh dokumentu:	Working Paper
Popis:	We show that de Rham--Witt forms are naturally isomorphic to $p$-typical curves on $p$-adic Tate twists, which revisits a question of Artin--Mazur 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. Comment: 16 pages; comments welcome!
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.16623 Zobrazit plný text záznamu View this record from Arxiv