# Resolving the "wild" singularities of $\mathbb A^n/C_n$

Let the cyclic group on $$n$$ elements, $$C_n$$, act on $$\mathbb A^n$$ by permuting the co-ordinates (over a field $$k$$). If $$n \neq 0 \in k$$, we can resolve the singularities of $$X = \mathbb A^n/C_n$$ by toric methods since the action can be linearized.

What about the case where $$n = 0 \in k$$? Are the exceptional divisors still projective spaces and given by blowing up along the singular locus? Can we blow up $$\mathbb A^n$$ first along some nice locus and then quotient by $$C_n$$ to find the resolution?