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http://hdl.handle.net/2445/197423
Title: | Prym varieties of double coverings of elliptic curves |
Author: | Marcucci, Valeria Ornella Naranjo del Val, Juan Carlos |
Keywords: | Corbes algebraiques Geometria algebraica Algebraic curves Algebraic geometry |
Issue Date: | 2014 |
Publisher: | Oxford University Press |
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. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1093/imrn/rns271 |
It is part of: | International Mathematics Research Notices, 2014, vol. 2014, num. 6, p. 1689-1698 |
URI: | http://hdl.handle.net/2445/197423 |
Related resource: | https://doi.org/10.1093/imrn/rns271 |
ISSN: | 1073-7928 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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