Abstract
We prove that up to automorphisms of the target the affine line \({\mathbb{A}^1}\) admits a unique embedding into the regular part of an affine simplicial toric variety of dimension at least 4 which is smooth in codimension 2. This is an analog of the well-known result on the existence of a linearization of any polynomial embedding \({\mathbb{A}^1}\hookrightarrow{\mathbb{A}^n}\) for n ≥ 1.
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The author is grateful to the referee for very useful comments and corrections.
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Kaliman, S. Lines in affine toric varieties. Isr. J. Math. 250, 85–113 (2022). https://doi.org/10.1007/s11856-022-2332-4
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DOI: https://doi.org/10.1007/s11856-022-2332-4