Compact moduli of plane curves

We construct a compactification M-d of the moduli space of lane curves of degree d. We regard-a plane curve C subset of P-2 as a surface-divisor pair (P-2, C), and we define Ad as a moduli space of pairs (X, D), where X is a degeneration of the plane. We show that, if d is not divisible by 3, the stack M-d is smooth and the degenerate surfaces X can be described explicitly.