On global generation of vector bundles on the moduli space of curves from representations of vertex operator algebras
We consider global generation of sheaves of coinvariants on the moduli space of curves given by simple modules over certain vertex operator algebras, extending results for affine VOAs at integrable levels on stable pointed rational curves. Examples where global generation fails, and further evidence of positivity are given.
- Pub Date:
- July 2021
- Mathematics - Algebraic Geometry;
- Mathematics - Quantum Algebra;
- Mathematics - Representation Theory;
- Minor changes, updated bibliography, accepted for publication in Algebraic Geometry