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Prym varieties of double coverings of elliptic curves Marcucci, Valeria Ornella Naranjo del Val, Juan Carlos Corbes algebraiques Geometria algebraica Algebraic curves Algebraic geometry We 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. 2023-05-02T08:08:46Z 2023-05-02T08:08:46Z 2014 2023-05-02T08:08:46Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Versió postprint del document publicat a: https://doi.org/10.1093/imrn/rns271 International Mathematics Research Notices, 2014, vol. 2014, num. 6, p. 1689-1698 https://doi.org/10.1093/imrn/rns271 (c) Marcucci, Valeria Ornella et al., 2014 info:eu-repo/semantics/openAccess Oxford University Press Articles publicats en revistes (Matemàtiques i Informàtica)