Marcucci, Valeria OrnellaNaranjo del Val, Juan Carlos2023-05-022023-05-0220141073-7928https://hdl.handle.net/2445/197423We prove the generic injectivity of the Prym map $\mathscr{P}: \mathcal{R}_{1, r} \rightarrow \mathcal{A}_{\frac{r}{2}}^\delta$ sending a double covering of an elliptic curve ramified at $r \geq 6$ points to its polarized Prym variety. For $r=6$ the map is birational and both $\mathcal{R}_{1,6}$ and $\mathcal{A}_3^\delta$ are unirational.10 p.application/pdfeng(c) Marcucci, Valeria Ornella et al., 2014Corbes algebraiquesGeometria algebraicaAlgebraic curvesAlgebraic geometryinfo:eu-repo/semantics/article6199162023-05-02info:eu-repo/semantics/openAccess