Corpus ID: 14629029

# $sl_n$ level 1 conformal blocks divisors on $\bar{M}_{0,n}$

@article{Arap2010sl_nL1,
title={\$sl_n\$ level 1 conformal blocks divisors on \$\bar\{M\}_\{0,n\}\$},
author={M. Arap and A. Gibney and James Stankewicz and D. Swinarski},
journal={arXiv: Algebraic Geometry},
year={2010}
}
• M. Arap, +1 author D. Swinarski
• Published 2010
• Mathematics
• arXiv: Algebraic Geometry
• We study a family of semiample divisors on the moduli space $\bar{M}_{0,n}$ that come from the theory of conformal blocks for the Lie algebra $sl_n$ and level 1. The divisors we study are invariant under the action of $S_n$ on $\bar{M}_{0,n}$. We compute their classes and prove that they generate extremal rays in the cone of symmetric nef divisors on $\bar{M}_{0,n}$. In particular, these divisors define birational contractions of $\bar{M}_{0,n}$, which we show factor through reduction morphisms… CONTINUE READING
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