Bloch-Suslin Complex and Strong $\mathbb{A}^{1}-$invariance
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917156743020544 |
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| author | Mohapatra, Saheb |
| author_facet | Mohapatra, Saheb |
| contents | We prove that there is no extension of the abelian groups appearing in the Bloch-Suslin complex to strongly $\mathbb{A}^{1}-$invariant sheaves on $Sm_{k}$ (char($k$)=0) that also extend the canonical symbol maps from the respective $\mathbb{G}_{m}^{\wedge n}$ (i.e., from $\mathbb{G}_{m}$ and $\mathbb{G}_{m}^{\wedge2}$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17118 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bloch-Suslin Complex and Strong $\mathbb{A}^{1}-$invariance Mohapatra, Saheb Algebraic Geometry K-Theory and Homology 14F42 We prove that there is no extension of the abelian groups appearing in the Bloch-Suslin complex to strongly $\mathbb{A}^{1}-$invariant sheaves on $Sm_{k}$ (char($k$)=0) that also extend the canonical symbol maps from the respective $\mathbb{G}_{m}^{\wedge n}$ (i.e., from $\mathbb{G}_{m}$ and $\mathbb{G}_{m}^{\wedge2}$). |
| title | Bloch-Suslin Complex and Strong $\mathbb{A}^{1}-$invariance |
| topic | Algebraic Geometry K-Theory and Homology 14F42 |
| url | https://arxiv.org/abs/2512.17118 |