Abstract
We prove that the locus of Prym curves $(C, \eta)$ of genus $g \geq 5$ for which the Prym-canonical system $\lvert \omega_C (\eta) \rvert$ is base point free but the Prym-canonical map is not an embedding is irreducible and unirational of dimension $2g + 1$.
Citation
Ciro Ciliberto. Thomas Dedieu. Concettina Galati. Andreas Leopold Knutsen. "On the locus of Prym curves where the Prym-canonical map is not an embedding." Ark. Mat. 58 (1) 71 - 85, April 2020. https://doi.org/10.4310/ARKIV.2020.v58.n1.a5
Information