2010/09/23 by Maxim Arap, Arap, Maxim, Angela Gibney +5
Mathematics · #14D21 #14E30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.1009.4664
openalex publication_date 2010/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a family of semiample divisors on the moduli space M0,n that come from the theory of conformal blocks for the Lie algebra sln and level 1. The divisors we study are invariant under the action of Sn on M0,n. We compute their classes and prove that they generate extremal rays in the cone of symmetric nef divisors on M0,n. In particular, these divisors define birational contractions of M0,n, which we show factor through reduction morphisms to moduli spaces of weighted pointed curves defined by Hassett.