On $S_n$-invariant conformal blocks vector bundles of rank one on $\overline M_{0,n}$

Anna Kazanova

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arXiv · 1404.5845

On $S_n$-invariant conformal blocks vector bundles of rank one on $\overline M_{0,n}$

Anna Kazanova

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Abstract

For any simple Lie algebra, a positive integer, and tuple of compatible weights, the conformal blocks bundle is a globally generated vector bundle on the moduli space of pointed rational curves. We classify all $S_n$-invariant vector bundles of conformal blocks for $\mathfrak{sl}_n$ which have rank one. We show that the cone generated by their base point free first Chern classes is polyhedral, generated by level one divisors.

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Anna Kazanova. 2014-04-23. On $S_n$-invariant conformal blocks vector bundles of rank one on $\overline M_{0,n}$. https://arxiv.org/abs/1404.5845

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