Logarithmic de Rham--Witt complexes via the D\'ecalage operator
Algebraic Geometry
2019-02-26 v2
Abstract
We provide a new formalism of de Rham--Witt complexes in the logarithmic setting. This construction generalizes a result of Bhatt--Lurie--Mathew, and agrees with those of Hyodo--Kato and Matsuue for log-smooth schemes of log-Cartier type. We then apply our formalism to obtain a more direct proof of the log crystalline comparison of A_inf-cohomology in the case of semistable reduction, which is established by Cesnavicius--Koshiwara.
Keywords
Cite
@article{arxiv.1808.09120,
title = {Logarithmic de Rham--Witt complexes via the D\'ecalage operator},
author = {Zijian Yao},
journal= {arXiv preprint arXiv:1808.09120},
year = {2019}
}
Comments
Added the log crystalline comparison for A_inf-cohomology in the semistable case. Corrected typos and mistakes. 70 pages