动机上同的迹形式论

IF 0.9 Q2 MATHEMATICS

Epijournal de Geometrie Algebrique Pub Date : 2021-08-17 DOI:10.46298/epiga.2023.9742

Tomoyuki Abe

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引用次数: 1

摘要

本文的目的是为继Voevodsky、Ayoub和cisinski - dsamglise之后的动机上同的六种功能形式主义构建轨迹映射。我们还构建了一个$\infty$ -增强这种跟踪形式主义。在$\infty$ -增强的过程中，我们需要以更功能的方式重新解释跟踪形式。这是通过使用suslin - voevodsky的相对循环群来完成的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Trace formalism for motivic cohomology

The goal of this paper is to construct trace maps for the six functor formalism of motivic cohomology after Voevodsky, Ayoub, and Cisinski-D\'{e}glise. We also construct an $\infty$-enhancement of such a trace formalism. In the course of the $\infty$-enhancement, we need to reinterpret the trace formalism in a more functorial manner. This is done by using Suslin-Voevodsky's relative cycle groups.

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来源期刊

Epijournal de Geometrie Algebrique MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

25 weeks