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oai:recercat.cat:2445/1974232025-12-05T09:56:32Zcom_2072_1057col_2072_478917col_2072_478920

00925njm 22002777a 4500 dc Marcucci, Valeria Ornella author Naranjo del Val, Juan Carlos author 2023-05-02T08:08:46Z 2023-05-02T08:08:46Z 2014 2023-05-02T08:08:46Z 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. Corbes algebraiques Geometria algebraica Algebraic curves Algebraic geometry Prym varieties of double coverings of elliptic curves