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arXiv · 1808.09120

Logarithmic de Rham--Witt complexes via the D\'ecalage operator

Zijian Yao
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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.

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Zijian Yao. 2018-08-28. Logarithmic de Rham--Witt complexes via the D\'ecalage operator. https://arxiv.org/abs/1808.09120

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