A motivic construction of the de Rham-Witt complex
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 p...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
14.01.2023
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Subjects | |
Online Access | Get full text |
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Summary: | 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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DOI: | 10.48550/arxiv.2301.05846 |