Tomoyuki Abe - Trace formalism for motivic cohomology

epiga:9742 - Épijournal de Géométrie Algébrique, March 19, 2023, Volume 7 - https://doi.org/10.46298/epiga.2023.9742
Trace formalism for motivic cohomologyArticle

Authors: Tomoyuki Abe

    The goal of this paper is to construct trace maps for the six functor formalism of motivic cohomology after Voevodsky, Ayoub, and Cisinski-Déglise. 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.


    Volume: Volume 7
    Published on: March 19, 2023
    Accepted on: November 18, 2022
    Submitted on: June 27, 2022
    Keywords: Mathematics - Algebraic Geometry,Mathematics - Number Theory

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