Co dimension two torus actions on the affine space

被引：0
|
作者：
Liendo, Alvaro [1 ]
Petitjean, Charlie [2 ]
机构：
[1] Univ Talca, Inst Matemat, Talca, Chile
[2] Univ Bourgogne Europe, Dijon, France
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2025年 / 229卷 / 05期
关键词：
Linearization conjecture; Affine varieties; Contractible varieties; Torus actions; CONTRACTILE THREEFOLDS; HYPERSURFACES;
D O I：
10.1016/j.jpaa.2025.107911
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we classify smooth, contractible affine varieties equipped with faithful torus actions of complexity two, having a unique fixed point and a two-dimensional algebraic quotient isomorphic to a toric blow-up of a toric surface. These varieties are of particular interest as they represent the simplest candidates for potential counterexamples to the linearization conjecture in affine geometry. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页数：11
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