Non-ordinary curves with a Prym variety of low $p$-rank

Turku Ozlum Celik, Yara Elias, Burcin Gunes +4

If $\pi :Y\to X$ is an unramified double cover of a smooth curve of genus $g$, then the Prym variety $P_{\pi }$ is a principally polarized abelian variety of dimension $g-1$. When $X$ is…