Lines in affine toric varieties
type: Item
instance of: scholarly article
title: Lines in affine toric varieties
zbMATH Open document ID: 1506.14119
author: Shulim Kaliman
published in: Israel Journal of Mathematics
publication date: 2022-10-24T00:00:00Z
review text: This is a nicely written and clearly motivated paper. The author proves 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 \(\mathbb{A}^1\to \mathbb{A}^n\) for \(n\ge 4\). He uses a local technique based on transverality and local nilpotent derivations.
Mathematics Subject Classification ID: 14R10
Mathematics Subject Classification ID: 14R25
zbMATH DE Number: 7606044
zbMATH Keywords: toric variety
zbMATH Keywords: Abhyankar-Moh-Suzuki theorem
reviewed by: A. Ya Belov
MaRDI profile type: Publication
full work available at URL: s11856-022-2332-4
OpenAlex ID: W4290805382
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DOI: 10.1007/S11856-022-2332-4
description: scientific article; zbMATH DE number 7606044