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LOGARITHMIC DE RHAM–WITT COMPLEXES VIA THE DÉCALAGE OPERATOR
Journal of the Institute of Mathematics of Jussieu ( IF 1.1 ) Pub Date : 2021-08-26 , DOI: 10.1017/s1474748021000402
Zijian Yao 1
Affiliation  

We provide a new formalism of de Rham–Witt complexes in the logarithmic setting. This construction generalises 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 use our construction to study the monodromy action and slopes of Frobenius on log crystalline cohomology.



中文翻译:

通过 DÉCALAGE 运算符的对数 DE RHAM-WITT 复数

我们在对数设置中提供了 de Rham-Witt 复形的新形式。该构造概括了 Bhatt–Lurie–Mathew 的结果,并与 Hyodo–Kato 和 Matsuue 的结果一致,用于对数卡地亚类型的对数平滑方案。然后,我们使用我们的构造来研究 Frobenius 对数晶体上同调的单值作用和斜率。

更新日期:2021-08-26
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