Corpus ID: 11757577

Nef divisors on $\bar{M}_{0,n}$ from GIT

@article{Alexeev2008NefDO,
  title={Nef divisors on \$\bar\{M\}_\{0,n\}\$ from GIT},
  author={V. Alexeev and D. Swinarski},
  journal={arXiv: Algebraic Geometry},
  year={2008}
}
  • V. Alexeev, D. Swinarski
  • Published 2008
  • Mathematics
  • arXiv: Algebraic Geometry
  • We introduce and study the GIT CONE of $\bar{M}_{0,n}$, which is generated by the pullbacks of the natural ample line bundles on the GIT quotients $(\mathbb P^1)^n//SL(2)$. We give an explicit formula for these line bundles and prove a number of basic results about the GIT cone. As one application, we prove unconditionally that the log canonical models of $\bar{M}_{0,n}$ with a symmetric boundary divisor coincide with the moduli spaces of weighted curves or with the symmetric GIT quotient… CONTINUE READING
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