Irreducibility of a universal Prym-Brill-Noether locus

Abstract

For genus $g=\frac{r(r+1)}{2}+1$, we prove that via the forgetful map, the universal Prym-Brill-Noether locus ${\mathcal{R}}_g^r$ has a unique irreducible component dominating the moduli space ${\mathcal{R}}_g$ of Prym curves.

arXiv commentFinal version. Accepted in IMRN