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}
}
  • L. Chen, A. Gibney, D. Krashen
  • 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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