Twisted forms of commutative monoid structures on affine spaces

Andrei V. Semenov; Pavel Gvozdevsky

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arXiv · 2109.10845

Twisted forms of commutative monoid structures on affine spaces

Andrei V. Semenov·Pavel Gvozdevsky

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Abstract

In this paper, we study affine commutative algebraic monoid structures on affine spaces over an arbitrary field of characteristic zero. We obtain full classification of such structures on $\mathbb{A}_K^2$ and $\mathbb{A}_K^3$ and describe some generalizations on $\mathbb{A}_K^n$ for any dimension $n$.

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BibTeX RIS

Andrei V. Semenov, Pavel Gvozdevsky. 2021-09-22. Twisted forms of commutative monoid structures on affine spaces. https://arxiv.org/abs/2109.10845

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