6 Pointed Trees of Projective Spaces

Abstract

We introduce a smooth projective variety T d,n which compactifies the space of configurations of n distinct points on affine d-space modulo translation and homothety. The points in the boundary correspond to n-pointed stable rooted trees of d-dimensional projective spaces, which for d = 1, are (n + 1)-pointed stable rational curves. In particular, T 1,n is… (More)

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