3 problems

Assume that $C$ is a generic paracanonical curve of genus $g\geq 11$, embedded by the paracanonical bundle $\omega_C\otimes\eta$, where $\eta$ is a generic non-trivial torsion line…

Naturality conjecture. The resolution of $C\subseteq\mathbf{P}^{g-2}$ is natural.

Prym-Green conjecture. The resolution of a general level $\ell$ paracanonical curve of genus $g$ is natural.