4 problems

Pareschi–Popa's equivalence conjecture. For $e=1$, these four conditions should be equivalent.

Let $p:C\overset{\pi}{\longrightarrow}C'\overset{g}{\longrightarrow}\mathbb{P}^1$ be a simply ramified $B_n$-covering with $C$ irreducible. Let $\mathfrak{D}_s$ and…

Let $p:C\overset{\pi}{\longrightarrow}C'\overset{g}{\longrightarrow}\mathbb{P}^1$ be a simply ramified covering of type $B_n$. Let $P(C,C')$ be its Prym variety, let $P(X,\delta)$…

Let $p:C\overset{\pi}{\longrightarrow}C'\overset{g}{\longrightarrow}Y$ be a covering of smooth projective curves with $\deg(\pi)=2$ and $\deg(g)=n$, and let $P(X,\delta)$ be the Pr…