4 problems

Orthogonal splitting type dimension conjecture. Its dimension is

Let $r \geq 1$ and $k \geq 3$. For a general étale double cover $f \colon \widetilde{C} \to C$ in the $k$-gonal locus in $\mathcal{R}_g$, the Prym-Brill-Noether variety $V^r(C,f)$…

Let $\pi \colon \widetilde{C} \to C$ be an unramified double cover of a general $k$-gonal curve, with $k \geq 3$. Let $\ell = \left\lceil \frac{k}{2} \right\rceil$ and define … Her…

Let $C$ be a curve of genus $g$, and let … be a generic Prym curve, meaning an unramified double cover. Let $V^r(C,f)$ denote the Prym–Brill–Noether locus of rank-$r$ linear series…