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arXiv · 2301.05846

A motivic construction of the de Rham-Witt complex

Junnosuke Koizumi·Hiroyasu Miyazaki
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Abstract

The theory of reciprocity sheaves due to Kahn-Saito-Yamazaki is a powerful framework to study invariants of smooth varieties via invariants of pairs $(X,D)$ of a variety $X$ and a divisor $D$. We develop a generalization of this theory where $D$ can be a $\mathbb{Q}$-divisor. As an application, we provide a motivic construction of the de Rham-Witt complex, which is analogous to the motivic construction of the Milnor $K$-theory due to Suslin-Voevodsky.

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Junnosuke Koizumi, Hiroyasu Miyazaki. 2023-01-14. A motivic construction of the de Rham-Witt complex. https://arxiv.org/abs/2301.05846

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