Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/191907
Title: | The fibers of the ramified Prym map |
Author: | Frediani, Paola Naranjo del Val, Juan Carlos Spelta, Irene |
Keywords: | Corbes algebraiques Geometria algebraica Algebraic curves Algebraic geometry |
Issue Date: | 21-May-2021 |
Publisher: | World Scientific Publishing |
Abstract: | We study the ramified Prym map $\mathscr{P}_{g, r} \rightarrow \mathscr{A}_{g-1+\frac{r}{2}}^\delta$ which assigns to a ramified double cover of a smooth irreducible curve of genus $g$ ramified in $r$ points the Prym variety of the covering. We focus on the six cases where the dimension of the source is strictly greater than the dimension of the target giving a geometric description of the generic fiber. We also give an explicit example of a totally geodesic curve which is an irreducible component of a fiber of the Prym map $\mathscr{P}_{1,2}$. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1142/S0219199721500309 |
It is part of: | Communications in Contemporary Mathematics, 2021, vol. 24, num. 5 |
URI: | http://hdl.handle.net/2445/191907 |
Related resource: | https://doi.org/10.1142/S0219199721500309 |
ISSN: | 0219-1997 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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706902.pdf | 310.12 kB | Adobe PDF | View/Open |
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