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Article

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Accepted version

Publication date

2014

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/197423

Prym varieties of double coverings of elliptic curves

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https://doi.org/10.1093/imrn/rns271

Abstract

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.

Subject

Corbes algebraiques, Geometria algebraica

Subject (English)

Algebraic curves, Algebraic geometry

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

MARCUCCI, Valeria Ornella and NARANJO DEL VAL, Juan Carlos. Prym varieties of double coverings of elliptic curves. International Mathematics Research Notices. 2014. Vol. 2014, num. 6, pags. 1689-1698. ISSN 1073-7928. [consulted: 8 of August of 2026]. Available at: https://hdl.handle.net/2445/197423

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