Corpus ID: 14346968

$sl_2$ conformal block divisors and the nef cone of $\bar{M}_{0,n}$

@article{Swinarski2011sl\_2CB,
  title={\$sl\_2\$ conformal block divisors and the nef cone of \$\bar\{M\}\_\{0,n\}\$},
  author={David Swinarski},
  journal={arXiv: Algebraic Geometry},
  year={2011}
}
We show that $sl_2$ conformal block divisors do not cover the nef cone of $\bar{M}_{0,6}$, or the $S_9$-invariant nef cone of $\bar{M}_{0,9}$. A key point is to relate the nonvanishing of intersection numbers between these divisors and F-curves to the nonemptiness of some explicitly defined polytopes. Several experimental results and some open problems are also included. 

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