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arXiv · 2512.17118

Bloch-Suslin Complex and Strong $\mathbb{A}^{1}-$invariance

Saheb Mohapatra
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Abstract

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 $\mathbb{G}_{m}^{\wedge2}$).

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Saheb Mohapatra. 2025-12-18. Bloch-Suslin Complex and Strong $\mathbb{A}^{1}-$invariance. https://arxiv.org/abs/2512.17118

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