A smooth contractible affine variety with a complexity-two torus action, a unique fixed point, and quotient A2//µ is determined by a linear action on the tangent space and two µ-invariant A1-curves with simple normal crossings.
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Codimension two torus actions on the affine space
A smooth contractible affine variety with a complexity-two torus action, a unique fixed point, and quotient A2//µ is determined by a linear action on the tangent space and two µ-invariant A1-curves with simple normal crossings.