Trace formalism for motivic cohomology
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866908909867892736 |
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| author | Abe, Tomoyuki |
| author_facet | Abe, Tomoyuki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_07459 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Trace formalism for motivic cohomology Abe, Tomoyuki Algebraic Geometry Number Theory 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. |
| title | Trace formalism for motivic cohomology |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2108.07459 |