Spaces of multiscaled lines with collision

We study varieties Aₙ arising as equivariant compactifications of the space of n points in C up to overall translation. We define Aₙ and examine its basic geometric properties before constructing an isomorphism to an augmented wonderful variety. We show that Aₙ is in a canonical way a resolution of the space P̄ₙ considered by Zahariuc, proving along the way that the resolution constructed by Zahariuc is equivalent to ours.