Codimension two torus actions on the affine space

Autor: Liendo, Alvaro, Petitjean, Charlie
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 11 pages
Databáze: arXiv