# name
Global Prym-Torelli for double coverings ramified in at least 6 points

# metadata.dc.description.abstract[].value
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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Journal of Algebraic Geometry, 2022, vol. 31, num. 2, p. 387-396

# metadata.dc.rights[].value
cc-by-nc-nd (c) University Press Inc., 2022

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Global Prym-Torelli for double coverings ramified in at least 6 points