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

Global Prym-Torelli for double coverings ramified in at least 6 points Naranjo del Val, Juan Carlos Ortega, Angela Corbes algebraiques Geometria algebraica Algebraic curves Algebraic geometry 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. 2023-01-05T08:05:44Z 2023-01-05T08:05:44Z 2022 2023-01-05T08:05:45Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 1056-3911 https://hdl.handle.net/2445/191946 705025 eng Versió postprint del document publicat a: https://doi.org/10.1090/jag/779 Journal of Algebraic Geometry, 2022, vol. 31, num. 2, p. 387-396 https://doi.org/10.1090/jag/779 cc-by-nc-nd (c) University Press Inc., 2022 https://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess 10 p. application/pdf University Press Inc. Articles publicats en revistes (Matemàtiques i Informàtica)