Codimension two torus actions on the affine space
Algebraic Geometry
2024-11-25 v1
Abstract
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.
Cite
@article{arxiv.2411.14645,
title = {Codimension two torus actions on the affine space},
author = {Alvaro Liendo and Charlie Petitjean},
journal= {arXiv preprint arXiv:2411.14645},
year = {2024}
}
Comments
11 pages