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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.06271 |
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| _version_ | 1866915560670887936 |
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| author | Bolbachan, Vasily |
| author_facet | Bolbachan, Vasily |
| contents | Let $\mathbb K$ be a field of characteristic zero. We prove that its motivic cohomology in degree $m-1$ and weight $m$ is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable $K_3$ of a field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06271 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Goncharov's conjecture in next to Milnor degree Bolbachan, Vasily Algebraic Geometry K-Theory and Homology Number Theory Let $\mathbb K$ be a field of characteristic zero. We prove that its motivic cohomology in degree $m-1$ and weight $m$ is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable $K_3$ of a field. |
| title | On Goncharov's conjecture in next to Milnor degree |
| topic | Algebraic Geometry K-Theory and Homology Number Theory |
| url | https://arxiv.org/abs/2404.06271 |