Naranjo del Val, Juan CarlosOrtega, Angela2023-01-052023-01-0520221056-3911https://hdl.handle.net/2445/191946We prove that the ramified Prym map $\mathcal{P}_{g, r}$ which sends a covering $\pi: D \longrightarrow C$ ramified in $r$ points to the Prym variety $P(\pi):=\operatorname{Ker}\left(N m_\pi\right)$ is an embedding for all $r \geq 6$ and for all $g(C)>0$. Moreover, by studying the restriction to the locus of coverings of hyperelliptic curves, we show that $\mathcal{P}_{g, 2}$ and $\mathcal{P}_{g, 4}$ have positive dimensional fibers.10 p.application/pdfengcc-by-nc-nd (c) University Press Inc., 2022https://creativecommons.org/licenses/by-nc-nd/4.0/Corbes algebraiquesGeometria algebraicaAlgebraic curvesAlgebraic geometryinfo:eu-repo/semantics/article7050252023-01-05info:eu-repo/semantics/openAccess