d-gonality of modular curves and bounding torsions
| dc.creator | Nguyen, Khac Viet | |
| dc.creator | Saito, Masa-Hiko | |
| dc.date | 1996-03-29 | |
| dc.date.accessioned | 2026-07-07T09:06:46Z | |
| dc.date.available | 2026-07-07T09:06:46Z | |
| dc.description | We study the problem of $d$-gonality of the modular curve $X_0(N)$. As a result, we can give an upperbound of the level $N$ by means of $d$. This generalizes Ogg's result on hyperelliptic modular curves ($d = 2$). As a corollary of this result, we prove an analogue of the strong Uniform Boundedness Conjecture for elliptic curves defined over the function fields of curves. If a base curve is $d$-gonal, we can bound orders of torsions of Mordell-Weil groups in terms of $d$ uniformly. | |
| dc.description | AMSTeX v 2.1 | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9603024 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9603024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150129 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G05 (Primary) 11G05, 14H52 (Secondary) | |
| dc.title | d-gonality of modular curves and bounding torsions | |
| dc.type | text |