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Logarithmic de Rham--Witt complexes via the Decalage operator

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 نشر من قبل Zijian Yao
 تاريخ النشر 2018
  مجال البحث
والبحث باللغة English
 تأليف Zijian Yao




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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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