Conformal blocks and rational normal curves

@article{Giansiracusa2010ConformalBA,
  title={Conformal blocks and rational normal curves},
  author={Noah Giansiracusa},
  journal={arXiv: Algebraic Geometry},
  year={2010}
}
We prove that the Chow quotient parametrizing configurations of n points in $\mathbb{P}^d$ which generically lie on a rational normal curve is isomorphic to $\overline{M}_{0,n}$, generalizing the well-known $d = 1$ result of Kapranov. In particular, $\overline{M}_{0,n}$ admits birational morphisms to all the corresponding geometric invariant theory (GIT) quotients. For symmetric linearizations the polarization on each GIT quotient pulls back to a divisor that spans the same extremal ray in the… Expand

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