Arkiv för Matematik
Volume 58 (2020)
On the locus of Prym curves where the Prym-canonical map is not an embedding
Pages: 71 – 85
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 $2g + 1$.
Version Information: In the published form of the paper, the proof of Proposition 3.1 is incomplete. For the complete proof, see the Addendum in the arXiv version (arXiv:1903.05702) of this paper.
Received 24 June 2019
Received revised 13 November 2019
Accepted 25 November 2019
Published 21 July 2022