3 problems

Let $[C,\tau]\in\mathcal{R}_{g,\ell}$ be a general level $\ell$ curve of genus $g\geq 5$, where $C$ is a smooth curve and $\tau$ is a non-trivial torsion line bundle. Its paracanon…

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.