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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/191946
Global Prym-Torelli for double coverings ramified in at least 6 points
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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.
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NARANJO DEL VAL, Juan Carlos and ORTEGA, Angela. Global Prym-Torelli for double coverings ramified in at least 6 points. Journal of Algebraic Geometry. 2022. Vol. 31, num. 2, pags. 387-396. ISSN 1056-3911. [consulted: 5 of October of 2026]. Available at: https://hdl.handle.net/2445/191946