On the rank of abelian varieties over function fields
| dc.creator | Pacheco, Amilcar | |
| dc.date | 2004-04-21 | |
| dc.date | 2005-09-07 | |
| dc.date.accessioned | 2026-07-07T06:24:12Z | |
| dc.date.available | 2026-07-07T06:24:12Z | |
| dc.description | Let $\cac$ be a smooth projective curve defined over a number field $k$, $A/k(\cac)$ an abelian variety and $(τ,B)$ the $k(\cac)/k$-trace of $A$. We estimate how the rank of $A(k(\cac))/τB(k)$ varies when we take a finite cover $π:\cac'\to\cac$ defined over $k$ geometrically abelian. | |
| dc.description | final version, to appear Manuscripta Mathematica | |
| dc.identifier | https://arxiv.org/abs/math/0404384 | |
| dc.identifier | http://arxiv.org/abs/math/0404384 | |
| dc.identifier | Manuscripta Mathematica 118( 2005), 361-381 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96464 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the rank of abelian varieties over function fields | |
| dc.type | text |