On global generation of vector bundles on the moduli space of curves\n from representations of vertex operator algebras

2021/07/14 by Chiara Damiolini, Damiolini, Chiara, Angela Gibney +1 · 2 citations
Mathematics · Physics and Astronomy · #14H20 #17B69 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2107.06923

openalex publication_date 2021/07/14 · openalex created_date 2022/08/12 · openalex updated_date 2026/07/28

Abstract

We consider global generation of sheaves of coinvariants on the moduli space\nof curves given by simple modules over certain vertex operator algebras,\nextending results for affine VOAs at integrable levels on stable pointed\nrational curves. Examples where global generation fails, and further evidence\nof positivity are given.\n

Cited by

• Modular functors from conformal blocks of rational vertex operator algebras
• Positivity of coinvariant divisors on M_0,n and the parafermions

Related

• Factorization presentations
• On factorization and vector bundles of conformal blocks from vertex algebras
• Positivity of coinvariant divisors on M_0,n and the parafermions
• Virtual global generation in higher dimensions
• Universal moduli spaces of vector bundles and the log-minimal model program on the moduli of curves