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oai:recercat.cat:2445/1919462025-12-05T09:53:44Zcom_2072_1057col_2072_478917col_2072_478920

00925njm 22002777a 4500 dc Naranjo del Val, Juan Carlos author Ortega, Angela author 2023-01-05T08:05:44Z 2023-01-05T08:05:44Z 2022 2023-01-05T08:05:45Z We 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. Corbes algebraiques Geometria algebraica Algebraic curves Algebraic geometry Global Prym-Torelli for double coverings ramified in at least 6 points