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arXiv · 2210.05554

Unimodular rows over affine algebras over algebraic closure of a finite field

Sampat Sharma
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Abstract

In this article, we prove that if $R$ is an affine algebra of dimension $d\geq 4$ over $\overline{\mathbb{F}}_{p}$ and $1/(d-1)! \in R,$ then any unimodular row over $R$ of length $d$ can be mapped to a factorial row by elementary transformations.

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Sampat Sharma. 2026-04-03. Unimodular rows over affine algebras over algebraic closure of a finite field. https://arxiv.org/abs/2210.05554

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