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arXiv · 1903.05702

On the locus of Prym curves where the Prym--canonical map is not an embedding

Ciro Ciliberto·Thomas Dedieu·Concettina Galati·Andreas Leopold Knutsen
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Abstract

We prove that the locus of Prym curves $(C,\eta)$ of genus $g \geq 5$ for which the Prym-canonical system $|\omega_C(\eta)|$ is base point free but the Prym--canonical map is not an embedding is irreducible and unirational of dimension $2g+1$.

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Ciro Ciliberto, Thomas Dedieu, Concettina Galati, Andreas Leopold Knutsen. 2019-03-13. On the locus of Prym curves where the Prym--canonical map is not an embedding. https://doi.org/10.4310/arkiv.2020.v58.n1.a5

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