Pointed trees of projective spaces

@article{Chen2005PointedTO,
title={Pointed trees of projective spaces},
author={L. Chen and A. Gibney and D. Krashen},
journal={Journal of Algebraic Geometry},
year={2005},
volume={18},
pages={477-509}
}
• Published 2005
• Mathematics
• Journal of Algebraic Geometry
• 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 isomorphic to $\bar{M}_{0,n+1}$, the moduli space of such curves. The variety $T_{d,n}$ shares many properties with \$\bar… CONTINUE READING

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