Twists of Mukai bundles and the geometry of the level $3$ modular variety over ${\overline{\mathcal{M}}}_8$

Gregor Bruns

For a curve $C$ of genus $6$ or $8$ and a torsion bundle $\eta$ of order $\ell$ we study the vanishing of the space of global sections of the twist $E_C\otimes \eta$ of the rank two Muk…