Heegner points and Mordell-Weil groups of elliptic curves over large fields
| dc.creator | Im, Bo-Hae | |
| dc.date | 2004-11-24 | |
| dc.date | 2004-11-25 | |
| dc.date.accessioned | 2026-07-07T05:14:39Z | |
| dc.date.available | 2026-07-07T05:14:39Z | |
| dc.description | Let $E/\bbq$ be an elliptic curve defined over $\bbq$ with conductor $N$ and $\gq$ the absolute Galois group of an algebraic closure $\bar{\bbq}$ of $\bbq$. We prove that for every $σ\in \gq$, the Mordell-Weil group $E(\oqs)$ of $E$ over the fixed subfield of $\bar{\bbq}$ under $σ$ has infinite rank. Our approach uses the modularity of $E/\bbq$ and a collection of algebraic points on $E$ -- the so-called {\em Heegner points} -- arising from the theory of complex multiplication. | |
| dc.description | 18 pages. submitted, only change of the title | |
| dc.identifier | https://arxiv.org/abs/math/0411534 | |
| dc.identifier | http://arxiv.org/abs/math/0411534 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73354 | |
| dc.subject | Number Theory | |
| dc.subject | 11G05 | |
| dc.title | Heegner points and Mordell-Weil groups of elliptic curves over large fields | |
| dc.type | text |