On the variation of the rank of Jacobian varieties on unramified abelian towers over number fields
| dc.creator | Pacheco, Amilcar | |
| dc.date | 2003-10-08 | |
| dc.date | 2003-11-15 | |
| dc.date.accessioned | 2026-07-07T05:01:44Z | |
| dc.date.available | 2026-07-07T05:01:44Z | |
| dc.description | Let $C$ be a smooth projective curve defined over a number field $k$, $X/k(C)$ a smooth projective curve of positive genus, $J_X$ the Jacobian variety of $X$ and $(τ,B)$ the $k(C)/k$-trace of $J_X$. We estimate how the rank of $J_X(k(C))/τB(k)$ varies when we take an unramified abelian cover $π:C'\to C$ defined over $k$. | |
| dc.description | 11 pages, revised version | |
| dc.identifier | https://arxiv.org/abs/math/0310123 | |
| dc.identifier | http://arxiv.org/abs/math/0310123 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68788 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the variation of the rank of Jacobian varieties on unramified abelian towers over number fields | |
| dc.type | text |